If $$x + \frac{1}{x} = 99{\text{,}}$$ find the value of $$\frac{{100x}}{{2{x^2} + 2 + 102x}}$$ is? Options: A . &nbsp$$\frac{1}{6}$$ B . &nbsp$$\frac{1}{2}$$ C . &nbsp$$\frac{1}{3}$$ D . &nbsp$$\frac{1}{4}$$

If $$x + \frac{1}{x} = 99{\text{,}}$$ find the value of $$\frac{{100x}}{{2

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