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Finding the Third Proportional to 42,226.31 and 91,753.88

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Solution

The third proportional to 42,226.31 and 91,753.88 is: 199,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,226.31 : 91,753.88 = 91,753.88 : x
  2. Step 2: Convert to fraction form
    42,226.31/91,753.88 = 91,753.88/x
  3. Step 3: Cross multiply
    42,226.31x = 91,753.88 × 91,753.88
  4. Step 4: Simplify right side
    42,226.31x = 8,418,773,577.52
  5. Step 5: Solve for x
    x = 8,418,773,577.52/42,226.31
  6. Step 6: Final answer
    x = 199,372.69

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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.