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Finding the Third Proportional to 103,926 and 223,880

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Solution

The third proportional to 103,926 and 223,880 is: 482,287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,926 : 223,880 = 223,880 : x
  2. Step 2: Convert to fraction form
    103,926/223,880 = 223,880/x
  3. Step 3: Cross multiply
    103,926x = 223,880 × 223,880
  4. Step 4: Simplify right side
    103,926x = 50,122,254,400
  5. Step 5: Solve for x
    x = 50,122,254,400/103,926
  6. Step 6: Final answer
    x = 482,287.92

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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.