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Finding the Third Proportional to 136,839.14 and 217,906.57

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Solution

The third proportional to 136,839.14 and 217,906.57 is: 347,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,839.14 : 217,906.57 = 217,906.57 : x
  2. Step 2: Convert to fraction form
    136,839.14/217,906.57 = 217,906.57/x
  3. Step 3: Cross multiply
    136,839.14x = 217,906.57 × 217,906.57
  4. Step 4: Simplify right side
    136,839.14x = 47,483,274,023.76
  5. Step 5: Solve for x
    x = 47,483,274,023.76/136,839.14
  6. Step 6: Final answer
    x = 347,000.68

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.