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Finding the Third Proportional to 95,531.75 and 202,442.25

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Solution

The third proportional to 95,531.75 and 202,442.25 is: 428,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,531.75 : 202,442.25 = 202,442.25 : x
  2. Step 2: Convert to fraction form
    95,531.75/202,442.25 = 202,442.25/x
  3. Step 3: Cross multiply
    95,531.75x = 202,442.25 × 202,442.25
  4. Step 4: Simplify right side
    95,531.75x = 40,982,864,585.06
  5. Step 5: Solve for x
    x = 40,982,864,585.06/95,531.75
  6. Step 6: Final answer
    x = 428,997.32

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.