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Finding the Third Proportional to 40,066.31 and 85,691.25

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Solution

The third proportional to 40,066.31 and 85,691.25 is: 183,270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,066.31 : 85,691.25 = 85,691.25 : x
  2. Step 2: Convert to fraction form
    40,066.31/85,691.25 = 85,691.25/x
  3. Step 3: Cross multiply
    40,066.31x = 85,691.25 × 85,691.25
  4. Step 4: Simplify right side
    40,066.31x = 7,342,990,326.56
  5. Step 5: Solve for x
    x = 7,342,990,326.56/40,066.31
  6. Step 6: Final answer
    x = 183,270.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.