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Finding the Third Proportional to 106,761.38 and 226,641.38

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Solution

The third proportional to 106,761.38 and 226,641.38 is: 481,131.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,761.38 : 226,641.38 = 226,641.38 : x
  2. Step 2: Convert to fraction form
    106,761.38/226,641.38 = 226,641.38/x
  3. Step 3: Cross multiply
    106,761.38x = 226,641.38 × 226,641.38
  4. Step 4: Simplify right side
    106,761.38x = 51,366,312,861.89
  5. Step 5: Solve for x
    x = 51,366,312,861.89/106,761.38
  6. Step 6: Final answer
    x = 481,131.99

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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.