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Finding the Third Proportional to 101,044.13 and 151,566.19

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Solution

The third proportional to 101,044.13 and 151,566.19 is: 227,349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,044.13 : 151,566.19 = 151,566.19 : x
  2. Step 2: Convert to fraction form
    101,044.13/151,566.19 = 151,566.19/x
  3. Step 3: Cross multiply
    101,044.13x = 151,566.19 × 151,566.19
  4. Step 4: Simplify right side
    101,044.13x = 22,972,309,193.29
  5. Step 5: Solve for x
    x = 22,972,309,193.29/101,044.13
  6. Step 6: Final answer
    x = 227,349.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.