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Finding the Third Proportional to 204,930,714 and 316,972,221

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Solution

The third proportional to 204,930,714 and 316,972,221 is: 490,270,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,930,714 : 316,972,221 = 316,972,221 : x
  2. Step 2: Convert to fraction form
    204,930,714/316,972,221 = 316,972,221/x
  3. Step 3: Cross multiply
    204,930,714x = 316,972,221 × 316,972,221
  4. Step 4: Simplify right side
    204,930,714x = 100,471,388,885,672,848
  5. Step 5: Solve for x
    x = 100,471,388,885,672,848/204,930,714
  6. Step 6: Final answer
    x = 490,270,037.73

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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.