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Finding the Third Proportional to 95,034.52 and 205,753.92

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Solution

The third proportional to 95,034.52 and 205,753.92 is: 445,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,034.52 : 205,753.92 = 205,753.92 : x
  2. Step 2: Convert to fraction form
    95,034.52/205,753.92 = 205,753.92/x
  3. Step 3: Cross multiply
    95,034.52x = 205,753.92 × 205,753.92
  4. Step 4: Simplify right side
    95,034.52x = 42,334,676,366.94
  5. Step 5: Solve for x
    x = 42,334,676,366.94/95,034.52
  6. Step 6: Final answer
    x = 445,466.32

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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.