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Finding the Third Proportional to 96,110 and 206,430

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Solution

The third proportional to 96,110 and 206,430 is: 443,380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,110 : 206,430 = 206,430 : x
  2. Step 2: Convert to fraction form
    96,110/206,430 = 206,430/x
  3. Step 3: Cross multiply
    96,110x = 206,430 × 206,430
  4. Step 4: Simplify right side
    96,110x = 42,613,344,900
  5. Step 5: Solve for x
    x = 42,613,344,900/96,110
  6. Step 6: Final answer
    x = 443,380.97

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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.