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Finding the Third Proportional to 177,646,084 and 396,138,564

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Solution

The third proportional to 177,646,084 and 396,138,564 is: 883,361,785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,646,084 : 396,138,564 = 396,138,564 : x
  2. Step 2: Convert to fraction form
    177,646,084/396,138,564 = 396,138,564/x
  3. Step 3: Cross multiply
    177,646,084x = 396,138,564 × 396,138,564
  4. Step 4: Simplify right side
    177,646,084x = 156,925,761,887,982,080
  5. Step 5: Solve for x
    x = 156,925,761,887,982,080/177,646,084
  6. Step 6: Final answer
    x = 883,361,785.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.