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Finding the Third Proportional to 40,802 and 89,620

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Solution

The third proportional to 40,802 and 89,620 is: 196,846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,802 : 89,620 = 89,620 : x
  2. Step 2: Convert to fraction form
    40,802/89,620 = 89,620/x
  3. Step 3: Cross multiply
    40,802x = 89,620 × 89,620
  4. Step 4: Simplify right side
    40,802x = 8,031,744,400
  5. Step 5: Solve for x
    x = 8,031,744,400/40,802
  6. Step 6: Final answer
    x = 196,846.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.