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Finding the Third Proportional to 258,204,174 and 388,062,997

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Solution

The third proportional to 258,204,174 and 388,062,997 is: 583,231,817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,204,174 : 388,062,997 = 388,062,997 : x
  2. Step 2: Convert to fraction form
    258,204,174/388,062,997 = 388,062,997/x
  3. Step 3: Cross multiply
    258,204,174x = 388,062,997 × 388,062,997
  4. Step 4: Simplify right side
    258,204,174x = 150,592,889,640,622,016
  5. Step 5: Solve for x
    x = 150,592,889,640,622,016/258,204,174
  6. Step 6: Final answer
    x = 583,231,817.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.