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Finding the Third Proportional to 205,541,589 and 485,057,285

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Solution

The third proportional to 205,541,589 and 485,057,285 is: 1,144,685,953.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,541,589 : 485,057,285 = 485,057,285 : x
  2. Step 2: Convert to fraction form
    205,541,589/485,057,285 = 485,057,285/x
  3. Step 3: Cross multiply
    205,541,589x = 485,057,285 × 485,057,285
  4. Step 4: Simplify right side
    205,541,589x = 235,280,569,731,571,232
  5. Step 5: Solve for x
    x = 235,280,569,731,571,232/205,541,589
  6. Step 6: Final answer
    x = 1,144,685,953.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.