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Finding the Third Proportional to 48,190.25 and 104,424.63

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Solution

The third proportional to 48,190.25 and 104,424.63 is: 226,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,190.25 : 104,424.63 = 104,424.63 : x
  2. Step 2: Convert to fraction form
    48,190.25/104,424.63 = 104,424.63/x
  3. Step 3: Cross multiply
    48,190.25x = 104,424.63 × 104,424.63
  4. Step 4: Simplify right side
    48,190.25x = 10,904,502,306.39
  5. Step 5: Solve for x
    x = 10,904,502,306.39/48,190.25
  6. Step 6: Final answer
    x = 226,280.26

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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.