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Finding the Third Proportional to 123,915.38 and 196,944.75

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Solution

The third proportional to 123,915.38 and 196,944.75 is: 313,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,915.38 : 196,944.75 = 196,944.75 : x
  2. Step 2: Convert to fraction form
    123,915.38/196,944.75 = 196,944.75/x
  3. Step 3: Cross multiply
    123,915.38x = 196,944.75 × 196,944.75
  4. Step 4: Simplify right side
    123,915.38x = 38,787,234,552.56
  5. Step 5: Solve for x
    x = 38,787,234,552.56/123,915.38
  6. Step 6: Final answer
    x = 313,013.90

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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.