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Finding the Third Proportional to 80,746,227 and 175,121,838

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Solution

The third proportional to 80,746,227 and 175,121,838 is: 379,802,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,746,227 : 175,121,838 = 175,121,838 : x
  2. Step 2: Convert to fraction form
    80,746,227/175,121,838 = 175,121,838/x
  3. Step 3: Cross multiply
    80,746,227x = 175,121,838 × 175,121,838
  4. Step 4: Simplify right side
    80,746,227x = 30,667,658,144,498,244
  5. Step 5: Solve for x
    x = 30,667,658,144,498,244/80,746,227
  6. Step 6: Final answer
    x = 379,802,986.27

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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.