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Finding the Third Proportional to 167,163,150 and 253,269,067.50

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Solution

The third proportional to 167,163,150 and 253,269,067.50 is: 383,728,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,163,150 : 253,269,067.50 = 253,269,067.50 : x
  2. Step 2: Convert to fraction form
    167,163,150/253,269,067.50 = 253,269,067.50/x
  3. Step 3: Cross multiply
    167,163,150x = 253,269,067.50 × 253,269,067.50
  4. Step 4: Simplify right side
    167,163,150x = 64,145,220,552,319,560
  5. Step 5: Solve for x
    x = 64,145,220,552,319,560/167,163,150
  6. Step 6: Final answer
    x = 383,728,235.27

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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.