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Finding the Third Proportional to 80,750,132 and 177,132,372

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Solution

The third proportional to 80,750,132 and 177,132,372 is: 388,555,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,750,132 : 177,132,372 = 177,132,372 : x
  2. Step 2: Convert to fraction form
    80,750,132/177,132,372 = 177,132,372/x
  3. Step 3: Cross multiply
    80,750,132x = 177,132,372 × 177,132,372
  4. Step 4: Simplify right side
    80,750,132x = 31,375,877,210,346,384
  5. Step 5: Solve for x
    x = 31,375,877,210,346,384/80,750,132
  6. Step 6: Final answer
    x = 388,555,119.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.