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Finding the Third Proportional to 48,298.31 and 103,738.13

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Solution

The third proportional to 48,298.31 and 103,738.13 is: 222,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,298.31 : 103,738.13 = 103,738.13 : x
  2. Step 2: Convert to fraction form
    48,298.31/103,738.13 = 103,738.13/x
  3. Step 3: Cross multiply
    48,298.31x = 103,738.13 × 103,738.13
  4. Step 4: Simplify right side
    48,298.31x = 10,761,598,578.52
  5. Step 5: Solve for x
    x = 10,761,598,578.52/48,298.31
  6. Step 6: Final answer
    x = 222,815.21

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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.