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Finding the Third Proportional to 100,947,338 and 219,609,376

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Solution

The third proportional to 100,947,338 and 219,609,376 is: 477,756,808.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,947,338 : 219,609,376 = 219,609,376 : x
  2. Step 2: Convert to fraction form
    100,947,338/219,609,376 = 219,609,376/x
  3. Step 3: Cross multiply
    100,947,338x = 219,609,376 × 219,609,376
  4. Step 4: Simplify right side
    100,947,338x = 48,228,278,027,109,376
  5. Step 5: Solve for x
    x = 48,228,278,027,109,376/100,947,338
  6. Step 6: Final answer
    x = 477,756,808.48

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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.