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Finding the Third Proportional to 87,138.28 and 190,861.31

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Solution

The third proportional to 87,138.28 and 190,861.31 is: 418,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,138.28 : 190,861.31 = 190,861.31 : x
  2. Step 2: Convert to fraction form
    87,138.28/190,861.31 = 190,861.31/x
  3. Step 3: Cross multiply
    87,138.28x = 190,861.31 × 190,861.31
  4. Step 4: Simplify right side
    87,138.28x = 36,428,040,609.22
  5. Step 5: Solve for x
    x = 36,428,040,609.22/87,138.28
  6. Step 6: Final answer
    x = 418,048.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.