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Finding the Third Proportional to 204,930,708 and 316,972,212

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Solution

The third proportional to 204,930,708 and 316,972,212 is: 490,270,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,930,708 : 316,972,212 = 316,972,212 : x
  2. Step 2: Convert to fraction form
    204,930,708/316,972,212 = 316,972,212/x
  3. Step 3: Cross multiply
    204,930,708x = 316,972,212 × 316,972,212
  4. Step 4: Simplify right side
    204,930,708x = 100,471,383,180,172,944
  5. Step 5: Solve for x
    x = 100,471,383,180,172,944/204,930,708
  6. Step 6: Final answer
    x = 490,270,024.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.