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Finding the Third Proportional to 92,305,218 and 196,965,012

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Solution

The third proportional to 92,305,218 and 196,965,012 is: 420,292,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,305,218 : 196,965,012 = 196,965,012 : x
  2. Step 2: Convert to fraction form
    92,305,218/196,965,012 = 196,965,012/x
  3. Step 3: Cross multiply
    92,305,218x = 196,965,012 × 196,965,012
  4. Step 4: Simplify right side
    92,305,218x = 38,795,215,952,160,144
  5. Step 5: Solve for x
    x = 38,795,215,952,160,144/92,305,218
  6. Step 6: Final answer
    x = 420,292,772.10

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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.