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Finding the Third Proportional to 83,668,104 and 181,229,424

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Solution

The third proportional to 83,668,104 and 181,229,424 is: 392,552,269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,668,104 : 181,229,424 = 181,229,424 : x
  2. Step 2: Convert to fraction form
    83,668,104/181,229,424 = 181,229,424/x
  3. Step 3: Cross multiply
    83,668,104x = 181,229,424 × 181,229,424
  4. Step 4: Simplify right side
    83,668,104x = 32,844,104,123,371,776
  5. Step 5: Solve for x
    x = 32,844,104,123,371,776/83,668,104
  6. Step 6: Final answer
    x = 392,552,269.66

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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.