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Finding the Third Proportional to 171,345,800 and 261,036,204

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Solution

The third proportional to 171,345,800 and 261,036,204 is: 397,674,759.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,345,800 : 261,036,204 = 261,036,204 : x
  2. Step 2: Convert to fraction form
    171,345,800/261,036,204 = 261,036,204/x
  3. Step 3: Cross multiply
    171,345,800x = 261,036,204 × 261,036,204
  4. Step 4: Simplify right side
    171,345,800x = 68,139,899,798,729,616
  5. Step 5: Solve for x
    x = 68,139,899,798,729,616/171,345,800
  6. Step 6: Final answer
    x = 397,674,759.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.