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Finding the Third Proportional to 131,850,589 and 193,965,400.50

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Solution

The third proportional to 131,850,589 and 193,965,400.50 is: 285,342,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,850,589 : 193,965,400.50 = 193,965,400.50 : x
  2. Step 2: Convert to fraction form
    131,850,589/193,965,400.50 = 193,965,400.50/x
  3. Step 3: Cross multiply
    131,850,589x = 193,965,400.50 × 193,965,400.50
  4. Step 4: Simplify right side
    131,850,589x = 37,622,576,591,125,400
  5. Step 5: Solve for x
    x = 37,622,576,591,125,400/131,850,589
  6. Step 6: Final answer
    x = 285,342,499.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.