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Finding the Third Proportional to 38,257,158 and 81,972,198

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Solution

The third proportional to 38,257,158 and 81,972,198 is: 175,638,797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,257,158 : 81,972,198 = 81,972,198 : x
  2. Step 2: Convert to fraction form
    38,257,158/81,972,198 = 81,972,198/x
  3. Step 3: Cross multiply
    38,257,158x = 81,972,198 × 81,972,198
  4. Step 4: Simplify right side
    38,257,158x = 6,719,441,244,951,204
  5. Step 5: Solve for x
    x = 6,719,441,244,951,204/38,257,158
  6. Step 6: Final answer
    x = 175,638,797.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.