Answer :

To add the two numbers, we start with

$$
39.3 + 63.4.
$$

**Step 1.** Write both numbers with their decimal points aligned:

\[
\begin{array}{r}
\ \ 39.3 \\
+ \ 63.4 \\
\hline
\end{array}
\]

**Step 2.** Add the numbers column by column. The digits after the decimal point are added first, then the whole numbers.

- Adding the tenths: $0.3 + 0.4 = 0.7$.
- Adding the whole number parts: $39 + 63 = 102$.

**Step 3.** Combine the two sums:

$$
102 + 0.7 = 102.69999999999999.
$$

Thus, the final answer is

$$\boxed{102.69999999999999}.$$

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