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Finding the Third Proportional to 40,150.69 and 87,019.31

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Solution

The third proportional to 40,150.69 and 87,019.31 is: 188,598.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,150.69 : 87,019.31 = 87,019.31 : x
  2. Step 2: Convert to fraction form
    40,150.69/87,019.31 = 87,019.31/x
  3. Step 3: Cross multiply
    40,150.69x = 87,019.31 × 87,019.31
  4. Step 4: Simplify right side
    40,150.69x = 7,572,360,747.97
  5. Step 5: Solve for x
    x = 7,572,360,747.97/40,150.69
  6. Step 6: Final answer
    x = 188,598.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.