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Finding the Third Proportional to 100,337.17 and 218,665.83

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Solution

The third proportional to 100,337.17 and 218,665.83 is: 476,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,337.17 : 218,665.83 = 218,665.83 : x
  2. Step 2: Convert to fraction form
    100,337.17/218,665.83 = 218,665.83/x
  3. Step 3: Cross multiply
    100,337.17x = 218,665.83 × 218,665.83
  4. Step 4: Simplify right side
    100,337.17x = 47,814,744,389.59
  5. Step 5: Solve for x
    x = 47,814,744,389.59/100,337.17
  6. Step 6: Final answer
    x = 476,540.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.