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Finding the Third Proportional to 38,805.56 and 85,231.31

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Solution

The third proportional to 38,805.56 and 85,231.31 is: 187,199.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,805.56 : 85,231.31 = 85,231.31 : x
  2. Step 2: Convert to fraction form
    38,805.56/85,231.31 = 85,231.31/x
  3. Step 3: Cross multiply
    38,805.56x = 85,231.31 × 85,231.31
  4. Step 4: Simplify right side
    38,805.56x = 7,264,376,630.47
  5. Step 5: Solve for x
    x = 7,264,376,630.47/38,805.56
  6. Step 6: Final answer
    x = 187,199.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.