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Finding the Third Proportional to 103,899 and 226,518

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Solution

The third proportional to 103,899 and 226,518 is: 493,848.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,899 : 226,518 = 226,518 : x
  2. Step 2: Convert to fraction form
    103,899/226,518 = 226,518/x
  3. Step 3: Cross multiply
    103,899x = 226,518 × 226,518
  4. Step 4: Simplify right side
    103,899x = 51,310,404,324
  5. Step 5: Solve for x
    x = 51,310,404,324/103,899
  6. Step 6: Final answer
    x = 493,848.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.