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Finding the Third Proportional to 42,617.81 and 89,638.31

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Solution

The third proportional to 42,617.81 and 89,638.31 is: 188,536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,617.81 : 89,638.31 = 89,638.31 : x
  2. Step 2: Convert to fraction form
    42,617.81/89,638.31 = 89,638.31/x
  3. Step 3: Cross multiply
    42,617.81x = 89,638.31 × 89,638.31
  4. Step 4: Simplify right side
    42,617.81x = 8,035,027,067.85
  5. Step 5: Solve for x
    x = 8,035,027,067.85/42,617.81
  6. Step 6: Final answer
    x = 188,536.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.