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Finding the Third Proportional to 91,162.13 and 198,910.69

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Solution

The third proportional to 91,162.13 and 198,910.69 is: 434,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,162.13 : 198,910.69 = 198,910.69 : x
  2. Step 2: Convert to fraction form
    91,162.13/198,910.69 = 198,910.69/x
  3. Step 3: Cross multiply
    91,162.13x = 198,910.69 × 198,910.69
  4. Step 4: Simplify right side
    91,162.13x = 39,565,461,601.72
  5. Step 5: Solve for x
    x = 39,565,461,601.72/91,162.13
  6. Step 6: Final answer
    x = 434,012.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.