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Finding the Third Proportional to 47,455.03 and 103,213.97

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Solution

The third proportional to 47,455.03 and 103,213.97 is: 224,488.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,455.03 : 103,213.97 = 103,213.97 : x
  2. Step 2: Convert to fraction form
    47,455.03/103,213.97 = 103,213.97/x
  3. Step 3: Cross multiply
    47,455.03x = 103,213.97 × 103,213.97
  4. Step 4: Simplify right side
    47,455.03x = 10,653,123,345.13
  5. Step 5: Solve for x
    x = 10,653,123,345.13/47,455.03
  6. Step 6: Final answer
    x = 224,488.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.