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Finding the Third Proportional to 40,986 and 89,694

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Solution

The third proportional to 40,986 and 89,694 is: 196,286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,986 : 89,694 = 89,694 : x
  2. Step 2: Convert to fraction form
    40,986/89,694 = 89,694/x
  3. Step 3: Cross multiply
    40,986x = 89,694 × 89,694
  4. Step 4: Simplify right side
    40,986x = 8,045,013,636
  5. Step 5: Solve for x
    x = 8,045,013,636/40,986
  6. Step 6: Final answer
    x = 196,286.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.