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Finding the Third Proportional to 90,530 and 199,108

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Solution

The third proportional to 90,530 and 199,108 is: 437,910.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,530 : 199,108 = 199,108 : x
  2. Step 2: Convert to fraction form
    90,530/199,108 = 199,108/x
  3. Step 3: Cross multiply
    90,530x = 199,108 × 199,108
  4. Step 4: Simplify right side
    90,530x = 39,643,995,664
  5. Step 5: Solve for x
    x = 39,643,995,664/90,530
  6. Step 6: Final answer
    x = 437,910.04

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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.