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Finding the Third Proportional to 91,000.13 and 195,172.88

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Solution

The third proportional to 91,000.13 and 195,172.88 is: 418,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,000.13 : 195,172.88 = 195,172.88 : x
  2. Step 2: Convert to fraction form
    91,000.13/195,172.88 = 195,172.88/x
  3. Step 3: Cross multiply
    91,000.13x = 195,172.88 × 195,172.88
  4. Step 4: Simplify right side
    91,000.13x = 38,092,451,135.77
  5. Step 5: Solve for x
    x = 38,092,451,135.77/91,000.13
  6. Step 6: Final answer
    x = 418,597.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.