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Finding the Third Proportional to 119,800,857 and 171,198,198

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Solution

The third proportional to 119,800,857 and 171,198,198 is: 244,646,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,800,857 : 171,198,198 = 171,198,198 : x
  2. Step 2: Convert to fraction form
    119,800,857/171,198,198 = 171,198,198/x
  3. Step 3: Cross multiply
    119,800,857x = 171,198,198 × 171,198,198
  4. Step 4: Simplify right side
    119,800,857x = 29,308,822,998,447,204
  5. Step 5: Solve for x
    x = 29,308,822,998,447,204/119,800,857
  6. Step 6: Final answer
    x = 244,646,188.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.