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Finding the Third Proportional to 47,040.38 and 101,748.38

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Solution

The third proportional to 47,040.38 and 101,748.38 is: 220,081.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,040.38 : 101,748.38 = 101,748.38 : x
  2. Step 2: Convert to fraction form
    47,040.38/101,748.38 = 101,748.38/x
  3. Step 3: Cross multiply
    47,040.38x = 101,748.38 × 101,748.38
  4. Step 4: Simplify right side
    47,040.38x = 10,352,731,815.14
  5. Step 5: Solve for x
    x = 10,352,731,815.14/47,040.38
  6. Step 6: Final answer
    x = 220,081.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.