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Finding the Third Proportional to 47,549.53 and 101,847.38

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Solution

The third proportional to 47,549.53 and 101,847.38 is: 218,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,549.53 : 101,847.38 = 101,847.38 : x
  2. Step 2: Convert to fraction form
    47,549.53/101,847.38 = 101,847.38/x
  3. Step 3: Cross multiply
    47,549.53x = 101,847.38 × 101,847.38
  4. Step 4: Simplify right side
    47,549.53x = 10,372,887,794.39
  5. Step 5: Solve for x
    x = 10,372,887,794.39/47,549.53
  6. Step 6: Final answer
    x = 218,149.11

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Why These Related Problems?

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