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Finding the Third Proportional to 158,729,344 and 323,835,736

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Solution

The third proportional to 158,729,344 and 323,835,736 is: 660,681,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,729,344 : 323,835,736 = 323,835,736 : x
  2. Step 2: Convert to fraction form
    158,729,344/323,835,736 = 323,835,736/x
  3. Step 3: Cross multiply
    158,729,344x = 323,835,736 × 323,835,736
  4. Step 4: Simplify right side
    158,729,344x = 104,869,583,910,661,696
  5. Step 5: Solve for x
    x = 104,869,583,910,661,696/158,729,344
  6. Step 6: Final answer
    x = 660,681,769.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.