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Finding the Third Proportional to 161,231,269.50 and 329,229,927

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Solution

The third proportional to 161,231,269.50 and 329,229,927 is: 672,278,678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,231,269.50 : 329,229,927 = 329,229,927 : x
  2. Step 2: Convert to fraction form
    161,231,269.50/329,229,927 = 329,229,927/x
  3. Step 3: Cross multiply
    161,231,269.50x = 329,229,927 × 329,229,927
  4. Step 4: Simplify right side
    161,231,269.50x = 108,392,344,832,425,328
  5. Step 5: Solve for x
    x = 108,392,344,832,425,328/161,231,269.50
  6. Step 6: Final answer
    x = 672,278,678.75

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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.