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Finding the Third Proportional to 44,950 and 98,204

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Solution

The third proportional to 44,950 and 98,204 is: 214,550.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,950 : 98,204 = 98,204 : x
  2. Step 2: Convert to fraction form
    44,950/98,204 = 98,204/x
  3. Step 3: Cross multiply
    44,950x = 98,204 × 98,204
  4. Step 4: Simplify right side
    44,950x = 9,644,025,616
  5. Step 5: Solve for x
    x = 9,644,025,616/44,950
  6. Step 6: Final answer
    x = 214,550.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.