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If $$r + \frac{1}{r} = 11$$, then the value of $$\frac{r^{3}+\frac{1}{r}}{r^{2}-r+1}$$ is ________.
$$\frac{119}{10}$$
$$\frac{10}{119}$$
$$\frac{19}{10}$$
$$\frac{10}{109}$$
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