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Finding the Third Proportional to 111,909 and 228,987

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Solution

The third proportional to 111,909 and 228,987 is: 468,550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,909 : 228,987 = 228,987 : x
  2. Step 2: Convert to fraction form
    111,909/228,987 = 228,987/x
  3. Step 3: Cross multiply
    111,909x = 228,987 × 228,987
  4. Step 4: Simplify right side
    111,909x = 52,435,046,169
  5. Step 5: Solve for x
    x = 52,435,046,169/111,909
  6. Step 6: Final answer
    x = 468,550.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.