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Finding the Third Proportional to 102,151.13 and 216,588.94

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Solution

The third proportional to 102,151.13 and 216,588.94 is: 459,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,151.13 : 216,588.94 = 216,588.94 : x
  2. Step 2: Convert to fraction form
    102,151.13/216,588.94 = 216,588.94/x
  3. Step 3: Cross multiply
    102,151.13x = 216,588.94 × 216,588.94
  4. Step 4: Simplify right side
    102,151.13x = 46,910,767,847.38
  5. Step 5: Solve for x
    x = 46,910,767,847.38/102,151.13
  6. Step 6: Final answer
    x = 459,229.09

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.