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Finding the Third Proportional to 40,187.81 and 87,294.38

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Solution

The third proportional to 40,187.81 and 87,294.38 is: 189,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,187.81 : 87,294.38 = 87,294.38 : x
  2. Step 2: Convert to fraction form
    40,187.81/87,294.38 = 87,294.38/x
  3. Step 3: Cross multiply
    40,187.81x = 87,294.38 × 87,294.38
  4. Step 4: Simplify right side
    40,187.81x = 7,620,307,906.64
  5. Step 5: Solve for x
    x = 7,620,307,906.64/40,187.81
  6. Step 6: Final answer
    x = 189,617.38

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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.