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Cups are a measurement of volume. Milligrams are a measurement of mass. Therefore, there cannot be a conversion of one to the other. It is a trick question.
BUT
at earth surface gravity, there would be roughly 227,000 milligrams of sugar in a cup at 100% density.
at natural density (granules for cooking), there would be roughly 193,000 milligrams of sugar in a cup.
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