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Finding the Third Proportional to 204,512,832 and 287,660,952

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Solution

The third proportional to 204,512,832 and 287,660,952 is: 404,614,333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,512,832 : 287,660,952 = 287,660,952 : x
  2. Step 2: Convert to fraction form
    204,512,832/287,660,952 = 287,660,952/x
  3. Step 3: Cross multiply
    204,512,832x = 287,660,952 × 287,660,952
  4. Step 4: Simplify right side
    204,512,832x = 82,748,823,305,546,304
  5. Step 5: Solve for x
    x = 82,748,823,305,546,304/204,512,832
  6. Step 6: Final answer
    x = 404,614,333.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.