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Finding the Third Proportional to 171,339,462 and 261,024,525

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Solution

The third proportional to 171,339,462 and 261,024,525 is: 397,653,884.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,339,462 : 261,024,525 = 261,024,525 : x
  2. Step 2: Convert to fraction form
    171,339,462/261,024,525 = 261,024,525/x
  3. Step 3: Cross multiply
    171,339,462x = 261,024,525 × 261,024,525
  4. Step 4: Simplify right side
    171,339,462x = 68,133,802,651,475,624
  5. Step 5: Solve for x
    x = 68,133,802,651,475,624/171,339,462
  6. Step 6: Final answer
    x = 397,653,884.61

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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.