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Finding the Third Proportional to 95,967 and 206,514

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Solution

The third proportional to 95,967 and 206,514 is: 444,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,967 : 206,514 = 206,514 : x
  2. Step 2: Convert to fraction form
    95,967/206,514 = 206,514/x
  3. Step 3: Cross multiply
    95,967x = 206,514 × 206,514
  4. Step 4: Simplify right side
    95,967x = 42,648,032,196
  5. Step 5: Solve for x
    x = 42,648,032,196/95,967
  6. Step 6: Final answer
    x = 444,403.10

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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.