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\frac{6.5\times 10^{4}}{x}=\frac{100}{273.16}
Divide both sides by 273.16.
\frac{6.5\times 10^{4}}{x}=\frac{10000}{27316}
Expand \frac{100}{273.16} by multiplying both numerator and the denominator by 100.
\frac{6.5\times 10^{4}}{x}=\frac{2500}{6829}
Reduce the fraction \frac{10000}{27316} to lowest terms by extracting and canceling out 4.
6829\times 6.5\times 10^{4}=2500x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6829x, the least common multiple of x,6829.
44388.5\times 10^{4}=2500x
Multiply 6829 and 6.5 to get 44388.5.
44388.5\times 10000=2500x
Calculate 10 to the power of 4 and get 10000.
443885000=2500x
Multiply 44388.5 and 10000 to get 443885000.
2500x=443885000
Swap sides so that all variable terms are on the left hand side.
x=\frac{443885000}{2500}
Divide both sides by 2500.
x=177554
Divide 443885000 by 2500 to get 177554.