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Finding the Third Proportional to 42,042.38 and 90,952.88

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Solution

The third proportional to 42,042.38 and 90,952.88 is: 196,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,042.38 : 90,952.88 = 90,952.88 : x
  2. Step 2: Convert to fraction form
    42,042.38/90,952.88 = 90,952.88/x
  3. Step 3: Cross multiply
    42,042.38x = 90,952.88 × 90,952.88
  4. Step 4: Simplify right side
    42,042.38x = 8,272,425,470.77
  5. Step 5: Solve for x
    x = 8,272,425,470.77/42,042.38
  6. Step 6: Final answer
    x = 196,763.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.