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Finding the Third Proportional to 48,404.25 and 104,223.38

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Solution

The third proportional to 48,404.25 and 104,223.38 is: 224,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,404.25 : 104,223.38 = 104,223.38 : x
  2. Step 2: Convert to fraction form
    48,404.25/104,223.38 = 104,223.38/x
  3. Step 3: Cross multiply
    48,404.25x = 104,223.38 × 104,223.38
  4. Step 4: Simplify right side
    48,404.25x = 10,862,511,896.39
  5. Step 5: Solve for x
    x = 10,862,511,896.39/48,404.25
  6. Step 6: Final answer
    x = 224,412.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.