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Finding the Third Proportional to 206,954,123 and 450,649,847

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Solution

The third proportional to 206,954,123 and 450,649,847 is: 981,305,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,954,123 : 450,649,847 = 450,649,847 : x
  2. Step 2: Convert to fraction form
    206,954,123/450,649,847 = 450,649,847/x
  3. Step 3: Cross multiply
    206,954,123x = 450,649,847 × 450,649,847
  4. Step 4: Simplify right side
    206,954,123x = 203,085,284,601,123,424
  5. Step 5: Solve for x
    x = 203,085,284,601,123,424/206,954,123
  6. Step 6: Final answer
    x = 981,305,816.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.