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Finding the Third Proportional to 48,930.33 and 104,269.78

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Solution

The third proportional to 48,930.33 and 104,269.78 is: 222,197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,930.33 : 104,269.78 = 104,269.78 : x
  2. Step 2: Convert to fraction form
    48,930.33/104,269.78 = 104,269.78/x
  3. Step 3: Cross multiply
    48,930.33x = 104,269.78 × 104,269.78
  4. Step 4: Simplify right side
    48,930.33x = 10,872,187,281.92
  5. Step 5: Solve for x
    x = 10,872,187,281.92/48,930.33
  6. Step 6: Final answer
    x = 222,197.31

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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.