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Finding the Third Proportional to 103,893 and 223,677

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Solution

The third proportional to 103,893 and 223,677 is: 481,566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,893 : 223,677 = 223,677 : x
  2. Step 2: Convert to fraction form
    103,893/223,677 = 223,677/x
  3. Step 3: Cross multiply
    103,893x = 223,677 × 223,677
  4. Step 4: Simplify right side
    103,893x = 50,031,400,329
  5. Step 5: Solve for x
    x = 50,031,400,329/103,893
  6. Step 6: Final answer
    x = 481,566.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.