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Finding the Third Proportional to 103,671 and 223,882

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Solution

The third proportional to 103,671 and 223,882 is: 483,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,671 : 223,882 = 223,882 : x
  2. Step 2: Convert to fraction form
    103,671/223,882 = 223,882/x
  3. Step 3: Cross multiply
    103,671x = 223,882 × 223,882
  4. Step 4: Simplify right side
    103,671x = 50,123,149,924
  5. Step 5: Solve for x
    x = 50,123,149,924/103,671
  6. Step 6: Final answer
    x = 483,482.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.