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Finding the Third Proportional to 81,812,503.13 and 176,604,714

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Solution

The third proportional to 81,812,503.13 and 176,604,714 is: 381,228,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,812,503.13 : 176,604,714 = 176,604,714 : x
  2. Step 2: Convert to fraction form
    81,812,503.13/176,604,714 = 176,604,714/x
  3. Step 3: Cross multiply
    81,812,503.13x = 176,604,714 × 176,604,714
  4. Step 4: Simplify right side
    81,812,503.13x = 31,189,225,007,021,796
  5. Step 5: Solve for x
    x = 31,189,225,007,021,796/81,812,503.13
  6. Step 6: Final answer
    x = 381,228,098.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.