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Finding the Third Proportional to 204,175,568 and 313,832,476

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Solution

The third proportional to 204,175,568 and 313,832,476 is: 482,382,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,175,568 : 313,832,476 = 313,832,476 : x
  2. Step 2: Convert to fraction form
    204,175,568/313,832,476 = 313,832,476/x
  3. Step 3: Cross multiply
    204,175,568x = 313,832,476 × 313,832,476
  4. Step 4: Simplify right side
    204,175,568x = 98,490,822,992,290,576
  5. Step 5: Solve for x
    x = 98,490,822,992,290,576/204,175,568
  6. Step 6: Final answer
    x = 482,382,999.87

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