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Finding the Third Proportional to 47,640.38 and 101,607.75

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Solution

The third proportional to 47,640.38 and 101,607.75 is: 216,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,640.38 : 101,607.75 = 101,607.75 : x
  2. Step 2: Convert to fraction form
    47,640.38/101,607.75 = 101,607.75/x
  3. Step 3: Cross multiply
    47,640.38x = 101,607.75 × 101,607.75
  4. Step 4: Simplify right side
    47,640.38x = 10,324,134,860.06
  5. Step 5: Solve for x
    x = 10,324,134,860.06/47,640.38
  6. Step 6: Final answer
    x = 216,709.77

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.