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Finding the Third Proportional to 99,982.13 and 140,617.69

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Solution

The third proportional to 99,982.13 and 140,617.69 is: 197,768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,982.13 : 140,617.69 = 140,617.69 : x
  2. Step 2: Convert to fraction form
    99,982.13/140,617.69 = 140,617.69/x
  3. Step 3: Cross multiply
    99,982.13x = 140,617.69 × 140,617.69
  4. Step 4: Simplify right side
    99,982.13x = 19,773,334,037.85
  5. Step 5: Solve for x
    x = 19,773,334,037.85/99,982.13
  6. Step 6: Final answer
    x = 197,768.69

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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.