What is the least expensive way to get from Paris to Frankfurt airport? What train is best?

I was looking to see if there was a direct train into the train station at the Frankfurt airport-but they all seem to go to Frankfurt Main Hauptbahnhof. I know one goes from the main station to the airport, but I couldn't find a price for one way. Also what is the best train to take from Paris to Frankfurt? We... show more I was looking to see if there was a direct train into the train station at the Frankfurt airport-but they all seem to go to Frankfurt Main Hauptbahnhof. I know one goes from the main station to the airport, but I couldn't find a price for one way. Also what is the best train to take from Paris to Frankfurt? We will be leaving Paris in the morning for a 3PM flight out of Frankfurt.
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