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Finding the Third Proportional to 80,755 and 188,614.75

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Solution

The third proportional to 80,755 and 188,614.75 is: 440,536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,755 : 188,614.75 = 188,614.75 : x
  2. Step 2: Convert to fraction form
    80,755/188,614.75 = 188,614.75/x
  3. Step 3: Cross multiply
    80,755x = 188,614.75 × 188,614.75
  4. Step 4: Simplify right side
    80,755x = 35,575,523,917.56
  5. Step 5: Solve for x
    x = 35,575,523,917.56/80,755
  6. Step 6: Final answer
    x = 440,536.49

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.