At the end of each year, the value of a certain antique watch is c percent more than its value one year earlier, where c has the same value each year. If the value of the watch was k dollars on January1, 1992, and m dollars on January 1, 1994, then in terms of m and k, what was the value of the watch, in dollars, on January 1, 1995 ?
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A$${m}+\frac{1}{2}({m}–{k})$$
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B$${m}+\frac{1}{2}(\frac{m-k}{k}){m}$$
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C$$\frac{{m}\sqrt{m}}{\sqrt{k}}$$
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D$$\frac{m^2}{2}{k}$$
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E$${k}{m}^{2}$$
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正确答案: C