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Finding the Third Proportional to 101,990 and 220,924

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Solution

The third proportional to 101,990 and 220,924 is: 478,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,990 : 220,924 = 220,924 : x
  2. Step 2: Convert to fraction form
    101,990/220,924 = 220,924/x
  3. Step 3: Cross multiply
    101,990x = 220,924 × 220,924
  4. Step 4: Simplify right side
    101,990x = 48,807,413,776
  5. Step 5: Solve for x
    x = 48,807,413,776/101,990
  6. Step 6: Final answer
    x = 478,550.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.