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Finding the Third Proportional to 122,578,741,148 and 172,542,659,666

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Solution

The third proportional to 122,578,741,148 and 172,542,659,666 is: 242,872,207,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,578,741,148 : 172,542,659,666 = 172,542,659,666 : x
  2. Step 2: Convert to fraction form
    122,578,741,148/172,542,659,666 = 172,542,659,666/x
  3. Step 3: Cross multiply
    122,578,741,148x = 172,542,659,666 × 172,542,659,666
  4. Step 4: Simplify right side
    122,578,741,148x = 29,770,969,404,617,103,769,600
  5. Step 5: Solve for x
    x = 29,770,969,404,617,103,769,600/122,578,741,148
  6. Step 6: Final answer
    x = 242,872,207,087.46

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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.