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Finding the Third Proportional to 83,639,306 and 181,179,335

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Solution

The third proportional to 83,639,306 and 181,179,335 is: 392,470,394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,639,306 : 181,179,335 = 181,179,335 : x
  2. Step 2: Convert to fraction form
    83,639,306/181,179,335 = 181,179,335/x
  3. Step 3: Cross multiply
    83,639,306x = 181,179,335 × 181,179,335
  4. Step 4: Simplify right side
    83,639,306x = 32,825,951,431,042,224
  5. Step 5: Solve for x
    x = 32,825,951,431,042,224/83,639,306
  6. Step 6: Final answer
    x = 392,470,394.61

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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.