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Finding the Third Proportional to 80,746,214 and 175,121,812

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Solution

The third proportional to 80,746,214 and 175,121,812 is: 379,802,934.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,746,214 : 175,121,812 = 175,121,812 : x
  2. Step 2: Convert to fraction form
    80,746,214/175,121,812 = 175,121,812/x
  3. Step 3: Cross multiply
    80,746,214x = 175,121,812 × 175,121,812
  4. Step 4: Simplify right side
    80,746,214x = 30,667,649,038,163,344
  5. Step 5: Solve for x
    x = 30,667,649,038,163,344/80,746,214
  6. Step 6: Final answer
    x = 379,802,934.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.