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Finding the Third Proportional to 168,261,016 and 266,206,812

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Solution

The third proportional to 168,261,016 and 266,206,812 is: 421,167,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,261,016 : 266,206,812 = 266,206,812 : x
  2. Step 2: Convert to fraction form
    168,261,016/266,206,812 = 266,206,812/x
  3. Step 3: Cross multiply
    168,261,016x = 266,206,812 × 266,206,812
  4. Step 4: Simplify right side
    168,261,016x = 70,866,066,755,203,344
  5. Step 5: Solve for x
    x = 70,866,066,755,203,344/168,261,016
  6. Step 6: Final answer
    x = 421,167,472.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.