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Finding the Third Proportional to 107,596 and 219,943

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Solution

The third proportional to 107,596 and 219,943 is: 449,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,596 : 219,943 = 219,943 : x
  2. Step 2: Convert to fraction form
    107,596/219,943 = 219,943/x
  3. Step 3: Cross multiply
    107,596x = 219,943 × 219,943
  4. Step 4: Simplify right side
    107,596x = 48,374,923,249
  5. Step 5: Solve for x
    x = 48,374,923,249/107,596
  6. Step 6: Final answer
    x = 449,597.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.