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Finding the Third Proportional to 206,947,282 and 450,636,162

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Solution

The third proportional to 206,947,282 and 450,636,162 is: 981,278,654.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,947,282 : 450,636,162 = 450,636,162 : x
  2. Step 2: Convert to fraction form
    206,947,282/450,636,162 = 450,636,162/x
  3. Step 3: Cross multiply
    206,947,282x = 450,636,162 × 450,636,162
  4. Step 4: Simplify right side
    206,947,282x = 203,072,950,502,090,240
  5. Step 5: Solve for x
    x = 203,072,950,502,090,240/206,947,282
  6. Step 6: Final answer
    x = 981,278,654.83

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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.