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Finding the Third Proportional to 204,175,563 and 313,832,471

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Solution

The third proportional to 204,175,563 and 313,832,471 is: 482,382,996.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,175,563 : 313,832,471 = 313,832,471 : x
  2. Step 2: Convert to fraction form
    204,175,563/313,832,471 = 313,832,471/x
  3. Step 3: Cross multiply
    204,175,563x = 313,832,471 × 313,832,471
  4. Step 4: Simplify right side
    204,175,563x = 98,490,819,853,965,840
  5. Step 5: Solve for x
    x = 98,490,819,853,965,840/204,175,563
  6. Step 6: Final answer
    x = 482,382,996.31

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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.