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Finding the Third Proportional to 99,862 and 140,463

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Solution

The third proportional to 99,862 and 140,463 is: 197,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,862 : 140,463 = 140,463 : x
  2. Step 2: Convert to fraction form
    99,862/140,463 = 140,463/x
  3. Step 3: Cross multiply
    99,862x = 140,463 × 140,463
  4. Step 4: Simplify right side
    99,862x = 19,729,854,369
  5. Step 5: Solve for x
    x = 19,729,854,369/99,862
  6. Step 6: Final answer
    x = 197,571.19

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.