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Finding the Third Proportional to 90,190.97 and 140,195.81

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Solution

The third proportional to 90,190.97 and 140,195.81 is: 217,924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,190.97 : 140,195.81 = 140,195.81 : x
  2. Step 2: Convert to fraction form
    90,190.97/140,195.81 = 140,195.81/x
  3. Step 3: Cross multiply
    90,190.97x = 140,195.81 × 140,195.81
  4. Step 4: Simplify right side
    90,190.97x = 19,654,865,842.54
  5. Step 5: Solve for x
    x = 19,654,865,842.54/90,190.97
  6. Step 6: Final answer
    x = 217,924.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.