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Finding the Third Proportional to 40,788 and 89,598

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Solution

The third proportional to 40,788 and 89,598 is: 196,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,788 : 89,598 = 89,598 : x
  2. Step 2: Convert to fraction form
    40,788/89,598 = 89,598/x
  3. Step 3: Cross multiply
    40,788x = 89,598 × 89,598
  4. Step 4: Simplify right side
    40,788x = 8,027,801,604
  5. Step 5: Solve for x
    x = 8,027,801,604/40,788
  6. Step 6: Final answer
    x = 196,817.73

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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.