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Finding the Third Proportional to 92,820,162 and 196,705,041

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Solution

The third proportional to 92,820,162 and 196,705,041 is: 416,858,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,820,162 : 196,705,041 = 196,705,041 : x
  2. Step 2: Convert to fraction form
    92,820,162/196,705,041 = 196,705,041/x
  3. Step 3: Cross multiply
    92,820,162x = 196,705,041 × 196,705,041
  4. Step 4: Simplify right side
    92,820,162x = 38,692,873,154,811,680
  5. Step 5: Solve for x
    x = 38,692,873,154,811,680/92,820,162
  6. Step 6: Final answer
    x = 416,858,496.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.