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Finding the Third Proportional to 99,993 and 140,633.25

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Solution

The third proportional to 99,993 and 140,633.25 is: 197,790.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,993 : 140,633.25 = 140,633.25 : x
  2. Step 2: Convert to fraction form
    99,993/140,633.25 = 140,633.25/x
  3. Step 3: Cross multiply
    99,993x = 140,633.25 × 140,633.25
  4. Step 4: Simplify right side
    99,993x = 19,777,711,005.56
  5. Step 5: Solve for x
    x = 19,777,711,005.56/99,993
  6. Step 6: Final answer
    x = 197,790.96

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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.