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Finding the Third Proportional to 108,195 and 230,214

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Solution

The third proportional to 108,195 and 230,214 is: 489,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,195 : 230,214 = 230,214 : x
  2. Step 2: Convert to fraction form
    108,195/230,214 = 230,214/x
  3. Step 3: Cross multiply
    108,195x = 230,214 × 230,214
  4. Step 4: Simplify right side
    108,195x = 52,998,485,796
  5. Step 5: Solve for x
    x = 52,998,485,796/108,195
  6. Step 6: Final answer
    x = 489,842.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.