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Finding the Third Proportional to 177,687,076 and 396,207,011

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Solution

The third proportional to 177,687,076 and 396,207,011 is: 883,463,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,687,076 : 396,207,011 = 396,207,011 : x
  2. Step 2: Convert to fraction form
    177,687,076/396,207,011 = 396,207,011/x
  3. Step 3: Cross multiply
    177,687,076x = 396,207,011 × 396,207,011
  4. Step 4: Simplify right side
    177,687,076x = 156,979,995,565,554,112
  5. Step 5: Solve for x
    x = 156,979,995,565,554,112/177,687,076
  6. Step 6: Final answer
    x = 883,463,215.78

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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.