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Finding the Third Proportional to 179,198,204 and 390,969,312

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Solution

The third proportional to 179,198,204 and 390,969,312 is: 853,005,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,198,204 : 390,969,312 = 390,969,312 : x
  2. Step 2: Convert to fraction form
    179,198,204/390,969,312 = 390,969,312/x
  3. Step 3: Cross multiply
    179,198,204x = 390,969,312 × 390,969,312
  4. Step 4: Simplify right side
    179,198,204x = 152,857,002,925,753,344
  5. Step 5: Solve for x
    x = 152,857,002,925,753,344/179,198,204
  6. Step 6: Final answer
    x = 853,005,217.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.