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Finding the Third Proportional to 179,375,734,992 and 252,279,969,606

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Solution

The third proportional to 179,375,734,992 and 252,279,969,606 is: 354,814,897,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,375,734,992 : 252,279,969,606 = 252,279,969,606 : x
  2. Step 2: Convert to fraction form
    179,375,734,992/252,279,969,606 = 252,279,969,606/x
  3. Step 3: Cross multiply
    179,375,734,992x = 252,279,969,606 × 252,279,969,606
  4. Step 4: Simplify right side
    179,375,734,992x = 63,645,183,064,404,280,737,792
  5. Step 5: Solve for x
    x = 63,645,183,064,404,280,737,792/179,375,734,992
  6. Step 6: Final answer
    x = 354,814,897,718.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.