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Finding the Third Proportional to 175,747,655,238.75 and 381,455,828,307

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Solution

The third proportional to 175,747,655,238.75 and 381,455,828,307 is: 827,940,200,691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,747,655,238.75 : 381,455,828,307 = 381,455,828,307 : x
  2. Step 2: Convert to fraction form
    175,747,655,238.75/381,455,828,307 = 381,455,828,307/x
  3. Step 3: Cross multiply
    175,747,655,238.75x = 381,455,828,307 × 381,455,828,307
  4. Step 4: Simplify right side
    175,747,655,238.75x = 145,508,548,949,379,469,279,232
  5. Step 5: Solve for x
    x = 145,508,548,949,379,469,279,232/175,747,655,238.75
  6. Step 6: Final answer
    x = 827,940,200,691.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.