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Finding the Third Proportional to 80,750,128 and 177,132,364

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Solution

The third proportional to 80,750,128 and 177,132,364 is: 388,555,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,750,128 : 177,132,364 = 177,132,364 : x
  2. Step 2: Convert to fraction form
    80,750,128/177,132,364 = 177,132,364/x
  3. Step 3: Cross multiply
    80,750,128x = 177,132,364 × 177,132,364
  4. Step 4: Simplify right side
    80,750,128x = 31,375,874,376,228,496
  5. Step 5: Solve for x
    x = 31,375,874,376,228,496/80,750,128
  6. Step 6: Final answer
    x = 388,555,103.92

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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.