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Finding the Third Proportional to 80,857,656 and 175,882,392

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Solution

The third proportional to 80,857,656 and 175,882,392 is: 382,581,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,857,656 : 175,882,392 = 175,882,392 : x
  2. Step 2: Convert to fraction form
    80,857,656/175,882,392 = 175,882,392/x
  3. Step 3: Cross multiply
    80,857,656x = 175,882,392 × 175,882,392
  4. Step 4: Simplify right side
    80,857,656x = 30,934,615,815,641,664
  5. Step 5: Solve for x
    x = 30,934,615,815,641,664/80,857,656
  6. Step 6: Final answer
    x = 382,581,159.86

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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.