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Finding the Third Proportional to 204,175,800 and 313,832,868

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Solution

The third proportional to 204,175,800 and 313,832,868 is: 482,383,656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,175,800 : 313,832,868 = 313,832,868 : x
  2. Step 2: Convert to fraction form
    204,175,800/313,832,868 = 313,832,868/x
  3. Step 3: Cross multiply
    204,175,800x = 313,832,868 × 313,832,868
  4. Step 4: Simplify right side
    204,175,800x = 98,491,069,037,105,424
  5. Step 5: Solve for x
    x = 98,491,069,037,105,424/204,175,800
  6. Step 6: Final answer
    x = 482,383,656.81

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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.