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Finding the Third Proportional to 48,944.25 and 104,292.56

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Solution

The third proportional to 48,944.25 and 104,292.56 is: 222,231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,944.25 : 104,292.56 = 104,292.56 : x
  2. Step 2: Convert to fraction form
    48,944.25/104,292.56 = 104,292.56/x
  3. Step 3: Cross multiply
    48,944.25x = 104,292.56 × 104,292.56
  4. Step 4: Simplify right side
    48,944.25x = 10,876,938,592.82
  5. Step 5: Solve for x
    x = 10,876,938,592.82/48,944.25
  6. Step 6: Final answer
    x = 222,231.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.