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Finding the Third Proportional to 81,906,866 and 179,241,316

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Solution

The third proportional to 81,906,866 and 179,241,316 is: 392,243,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,906,866 : 179,241,316 = 179,241,316 : x
  2. Step 2: Convert to fraction form
    81,906,866/179,241,316 = 179,241,316/x
  3. Step 3: Cross multiply
    81,906,866x = 179,241,316 × 179,241,316
  4. Step 4: Simplify right side
    81,906,866x = 32,127,449,361,411,856
  5. Step 5: Solve for x
    x = 32,127,449,361,411,856/81,906,866
  6. Step 6: Final answer
    x = 392,243,665.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.