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Finding the Third Proportional to 204,176,272 and 313,833,555

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Solution

The third proportional to 204,176,272 and 313,833,555 is: 482,384,653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,176,272 : 313,833,555 = 313,833,555 : x
  2. Step 2: Convert to fraction form
    204,176,272/313,833,555 = 313,833,555/x
  3. Step 3: Cross multiply
    204,176,272x = 313,833,555 × 313,833,555
  4. Step 4: Simplify right side
    204,176,272x = 98,491,500,243,938,032
  5. Step 5: Solve for x
    x = 98,491,500,243,938,032/204,176,272
  6. Step 6: Final answer
    x = 482,384,653.61

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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.