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Finding the Third Proportional to 175,206,264 and 405,591,180

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Solution

The third proportional to 175,206,264 and 405,591,180 is: 938,917,373.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,206,264 : 405,591,180 = 405,591,180 : x
  2. Step 2: Convert to fraction form
    175,206,264/405,591,180 = 405,591,180/x
  3. Step 3: Cross multiply
    175,206,264x = 405,591,180 × 405,591,180
  4. Step 4: Simplify right side
    175,206,264x = 164,504,205,293,792,384
  5. Step 5: Solve for x
    x = 164,504,205,293,792,384/175,206,264
  6. Step 6: Final answer
    x = 938,917,373.95

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.