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Finding the Third Proportional to 101,930 and 223,540

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Solution

The third proportional to 101,930 and 223,540 is: 490,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,930 : 223,540 = 223,540 : x
  2. Step 2: Convert to fraction form
    101,930/223,540 = 223,540/x
  3. Step 3: Cross multiply
    101,930x = 223,540 × 223,540
  4. Step 4: Simplify right side
    101,930x = 49,970,131,600
  5. Step 5: Solve for x
    x = 49,970,131,600/101,930
  6. Step 6: Final answer
    x = 490,239.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.