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Finding the Third Proportional to 40,786 and 89,850

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Solution

The third proportional to 40,786 and 89,850 is: 197,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,786 : 89,850 = 89,850 : x
  2. Step 2: Convert to fraction form
    40,786/89,850 = 89,850/x
  3. Step 3: Cross multiply
    40,786x = 89,850 × 89,850
  4. Step 4: Simplify right side
    40,786x = 8,073,022,500
  5. Step 5: Solve for x
    x = 8,073,022,500/40,786
  6. Step 6: Final answer
    x = 197,936.12

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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.