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Finding the Third Proportional to 92,305,220 and 196,965,016

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Solution

The third proportional to 92,305,220 and 196,965,016 is: 420,292,780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,305,220 : 196,965,016 = 196,965,016 : x
  2. Step 2: Convert to fraction form
    92,305,220/196,965,016 = 196,965,016/x
  3. Step 3: Cross multiply
    92,305,220x = 196,965,016 × 196,965,016
  4. Step 4: Simplify right side
    92,305,220x = 38,795,217,527,880,256
  5. Step 5: Solve for x
    x = 38,795,217,527,880,256/92,305,220
  6. Step 6: Final answer
    x = 420,292,780.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.