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Finding the Third Proportional to 49,101.38 and 105,469.13

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Solution

The third proportional to 49,101.38 and 105,469.13 is: 226,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,101.38 : 105,469.13 = 105,469.13 : x
  2. Step 2: Convert to fraction form
    49,101.38/105,469.13 = 105,469.13/x
  3. Step 3: Cross multiply
    49,101.38x = 105,469.13 × 105,469.13
  4. Step 4: Simplify right side
    49,101.38x = 11,123,736,328.27
  5. Step 5: Solve for x
    x = 11,123,736,328.27/49,101.38
  6. Step 6: Final answer
    x = 226,546.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.