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Finding the Third Proportional to 83,639,304 and 181,179,330.75

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Solution

The third proportional to 83,639,304 and 181,179,330.75 is: 392,470,385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,639,304 : 181,179,330.75 = 181,179,330.75 : x
  2. Step 2: Convert to fraction form
    83,639,304/181,179,330.75 = 181,179,330.75/x
  3. Step 3: Cross multiply
    83,639,304x = 181,179,330.75 × 181,179,330.75
  4. Step 4: Simplify right side
    83,639,304x = 32,825,949,891,017,896
  5. Step 5: Solve for x
    x = 32,825,949,891,017,896/83,639,304
  6. Step 6: Final answer
    x = 392,470,385.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.