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Finding the Third Proportional to 161,231,269 and 329,229,926

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Solution

The third proportional to 161,231,269 and 329,229,926 is: 672,278,676.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,231,269 : 329,229,926 = 329,229,926 : x
  2. Step 2: Convert to fraction form
    161,231,269/329,229,926 = 329,229,926/x
  3. Step 3: Cross multiply
    161,231,269x = 329,229,926 × 329,229,926
  4. Step 4: Simplify right side
    161,231,269x = 108,392,344,173,965,472
  5. Step 5: Solve for x
    x = 108,392,344,173,965,472/161,231,269
  6. Step 6: Final answer
    x = 672,278,676.75

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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.