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Finding the Third Proportional to 101,331 and 151,429.50

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Solution

The third proportional to 101,331 and 151,429.50 is: 226,296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,331 : 151,429.50 = 151,429.50 : x
  2. Step 2: Convert to fraction form
    101,331/151,429.50 = 151,429.50/x
  3. Step 3: Cross multiply
    101,331x = 151,429.50 × 151,429.50
  4. Step 4: Simplify right side
    101,331x = 22,930,893,470.25
  5. Step 5: Solve for x
    x = 22,930,893,470.25/101,331
  6. Step 6: Final answer
    x = 226,296.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.