The letter is postmarked Berlin and dates December 10, 1915. It was originally estimated to be worth USD 30,000.
"The boldest dreams have now been fulfilled," Einstein wrote in the letter, rejoicing in his theory's success.
Einstein had set out the key elements of the general theory of relativity in four magisterial papers submitted to the Prussian Academy of Sciences between November 4 and 25, according to the British auction house Christie's.
Einstein's general theory of relativity is one of most important developments of 20th-century physics.
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Published in 1916, it explains that gravity is in fact curvature of space and time.
Recent observation of gravitational waves - ripples in the fabric of space and time - successfully confirmed this theory, 100 years after it was put forward by the renowned scientist.
The postcard, written in German, opens with news of an intended journey to Switzerland, after Einstein was assured that his eldest son, Hans Albert, wished to spend time with him.
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