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Finding the Third Proportional to 95,333,524 and 202,107,182

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Solution

The third proportional to 95,333,524 and 202,107,182 is: 428,467,461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,333,524 : 202,107,182 = 202,107,182 : x
  2. Step 2: Convert to fraction form
    95,333,524/202,107,182 = 202,107,182/x
  3. Step 3: Cross multiply
    95,333,524x = 202,107,182 × 202,107,182
  4. Step 4: Simplify right side
    95,333,524x = 40,847,313,015,981,120
  5. Step 5: Solve for x
    x = 40,847,313,015,981,120/95,333,524
  6. Step 6: Final answer
    x = 428,467,461.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.