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Finding the Third Proportional to 122,578,741,152 and 172,542,659,672

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Solution

The third proportional to 122,578,741,152 and 172,542,659,672 is: 242,872,207,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,578,741,152 : 172,542,659,672 = 172,542,659,672 : x
  2. Step 2: Convert to fraction form
    122,578,741,152/172,542,659,672 = 172,542,659,672/x
  3. Step 3: Cross multiply
    122,578,741,152x = 172,542,659,672 × 172,542,659,672
  4. Step 4: Simplify right side
    122,578,741,152x = 29,770,969,406,687,613,550,592
  5. Step 5: Solve for x
    x = 29,770,969,406,687,613,550,592/122,578,741,152
  6. Step 6: Final answer
    x = 242,872,207,096.43

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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.