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Speedy new models from Porsche and BMW can beat Toyota’s Prius not just off the line but also at the fuel pump as efficiency becomes a key standard even for elite racers.

Porsche’s $845,000 918 Spyder hybrid, unveiled at the International Auto Show in Frankfurt, can reach 62 miles per hour in 2.8 seconds and gets the equivalent of about 72 miles per gallon, based on European fuel-economy data. That tops the 50 mpg of the basic Prius hybrid.

BMW introduced the i8, a plug-in hybrid racer that will get more than 113 mpg when sales start next year, versus 95 mpg for the Prius plug-in. The models will join other elite electrics and hybrids such as Ferrari’s $1.32 million LaFerrari and Mercedes’ 416,500- euro SLS AMG Coupe Electric Drive.

These ultra-efficient sportsters help automakers meet tougher emissions regulations without sacrificing power and performance. And they break the association between speed and pollution, shoring up the carmakers’ reputations for innovation, which have helped them sidestep a six-year decline in the European car market while underpinning their ability to charge premium prices and haul in above-average profits.

“We are standing at the dawn of a new era,” said BMW Chief Executive Norbert Reithofer at the show. “We believe in electro-mobility and will bring it on the road.”

The Frankfurt show, which started Tuesday and runs through Sept. 22, brings together almost 1,100 manufacturers and suppliers and will feature 159 world premieres, according to the exhibition organizer.

Alongside the green efforts, BMW, Mercedes and Audi are all plotting large-scale expansions of their high-performance units, which make souped-up versions of their cars, to boost sales and earnings to help pay for the development of new technology.

“Demand is growing for high-performance cars especially in markets like China, the U.S. and the Middle East,” said Falk Frey, an analyst at ratings agency Moody’s in Frankfurt. “The profit margins manufacturers reap with these vehicles are very attractive.”

In Frankfurt, Audi is showing a concept called the Sport Quattro, a plug-in hybrid coupe with a 700-horsepower drivetrain. The combined thrust of the combustion and electric motors accelerate the car to 62 miles per hour in 3.7 seconds. Its mileage of about 94 mpg is meant to demonstrate that efficiency and performance can go hand in hand.

“The one thing doesn’t rule out the other,” Axel Strotbek, Audi’s chief financial officer, said of the company’s push to raise its image with sportier models while at the same time cutting overall emissions.

Audi’s high-performance Quattro unit plans to roll out more models like the RS 5 convertible, the RS 7 coupe and RS Q3 sport-utility vehicle.

The effort is being flanked by the introduction of a plug-in hybrid version of the A3 compact as VW plans to roll out the technology across the group.

VW is betting “that plug-in hybrids offer the best bridging technology” until pure-electric cars become more viable, said Tim Urquhart, an analyst with IHS Automotive in London. With demand for such vehicles still low, carmakers “hope the new market entrants launched at Frankfurt will create a tipping point.”

The limited-run Spyder hybrid will be Porsche’s most expensive model when deliveries start at the end of this year. The car follows on a plug-in hybrid version of the Panamera four-door coupe.

The 918 combines a gasoline engine with two electric motors for a total of 887-horsepower to push the car to a top speed of 198 miles per hour.

“With this exclusive super sports car, Porsche is pushing the limit of what’s technically possible,” said Matthias Mueller, head of Volkswagen’s Porsche brand. “We’ll prove even to critical observers that sports cars have a great electric future,” he said ahead of the 918’s show debut.

BMW’s i8, which was featured in the latest “Mission: Impossible” movie, combines a 131-horsepower electric motor to turn the front wheels with a 231-horsepower, three-cylinder gasoline engine for the rear.

It accelerates to 62 mph in 4.5 seconds and can drive 22 miles solely on electric power. The i8, which BMW said Tuesday will cost $135,925, is the second model in BMW’s efficiency-focused “i” subbrand after the battery-powered i3 city car.

“We’ve created a sports car with the consumption of a small car,” Herbert Diess, BMW’s development chief, said Tuesday in an interview. “The biggest challenge was that there wasn’t any previous model at all,” as the company developed the carbon-fiber body with a low center of gravity, a gull-wing door and a three-cylinder engine.

“Now is the right time for electric cars,” Diess said.

The Munich-based carmaker will also bring to market a plug-in hybrid version of the X5 sport-utility vehicle in 2015, reflecting the company’s intention to introduce the technology in its mainstream models. “The plug-in hybrid is already standard for us, and a version will be included in every model series,” Diess said.

“BMW is leading in terms of innovation,” said Hans-Peter Wodniok, an analyst at Fairesearch in Kronberg, Germany. “While Audi and Mercedes are lagging, BMW’s power to innovate is one of reasons for its success.”