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Finding the Third Proportional to 161,231,267 and 329,229,922

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Solution

The third proportional to 161,231,267 and 329,229,922 is: 672,278,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,231,267 : 329,229,922 = 329,229,922 : x
  2. Step 2: Convert to fraction form
    161,231,267/329,229,922 = 329,229,922/x
  3. Step 3: Cross multiply
    161,231,267x = 329,229,922 × 329,229,922
  4. Step 4: Simplify right side
    161,231,267x = 108,392,341,540,126,080
  5. Step 5: Solve for x
    x = 108,392,341,540,126,080/161,231,267
  6. Step 6: Final answer
    x = 672,278,668.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.