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Finding the Third Proportional to 201,625,625 and 311,392,665

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Solution

The third proportional to 201,625,625 and 311,392,665 is: 480,917,997.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,625,625 : 311,392,665 = 311,392,665 : x
  2. Step 2: Convert to fraction form
    201,625,625/311,392,665 = 311,392,665/x
  3. Step 3: Cross multiply
    201,625,625x = 311,392,665 × 311,392,665
  4. Step 4: Simplify right side
    201,625,625x = 96,965,391,815,802,224
  5. Step 5: Solve for x
    x = 96,965,391,815,802,224/201,625,625
  6. Step 6: Final answer
    x = 480,917,997.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.