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Finding the Third Proportional to 103,611 and 223,762

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Solution

The third proportional to 103,611 and 223,762 is: 483,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,611 : 223,762 = 223,762 : x
  2. Step 2: Convert to fraction form
    103,611/223,762 = 223,762/x
  3. Step 3: Cross multiply
    103,611x = 223,762 × 223,762
  4. Step 4: Simplify right side
    103,611x = 50,069,432,644
  5. Step 5: Solve for x
    x = 50,069,432,644/103,611
  6. Step 6: Final answer
    x = 483,244.37

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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.