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Finding the Third Proportional to 204,175,422 and 313,832,259

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Solution

The third proportional to 204,175,422 and 313,832,259 is: 482,382,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,175,422 : 313,832,259 = 313,832,259 : x
  2. Step 2: Convert to fraction form
    204,175,422/313,832,259 = 313,832,259/x
  3. Step 3: Cross multiply
    204,175,422x = 313,832,259 × 313,832,259
  4. Step 4: Simplify right side
    204,175,422x = 98,490,686,789,043,088
  5. Step 5: Solve for x
    x = 98,490,686,789,043,088/204,175,422
  6. Step 6: Final answer
    x = 482,382,677.72

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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.