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Finding the Third Proportional to 206,947,274.50 and 450,636,149

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Solution

The third proportional to 206,947,274.50 and 450,636,149 is: 981,278,633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,947,274.50 : 450,636,149 = 450,636,149 : x
  2. Step 2: Convert to fraction form
    206,947,274.50/450,636,149 = 450,636,149/x
  3. Step 3: Cross multiply
    206,947,274.50x = 450,636,149 × 450,636,149
  4. Step 4: Simplify right side
    206,947,274.50x = 203,072,938,785,550,208
  5. Step 5: Solve for x
    x = 203,072,938,785,550,208/206,947,274.50
  6. Step 6: Final answer
    x = 981,278,633.78

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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.