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Finding the Third Proportional to 83,914,956 and 197,811,378

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Solution

The third proportional to 83,914,956 and 197,811,378 is: 466,297,584.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,914,956 : 197,811,378 = 197,811,378 : x
  2. Step 2: Convert to fraction form
    83,914,956/197,811,378 = 197,811,378/x
  3. Step 3: Cross multiply
    83,914,956x = 197,811,378 × 197,811,378
  4. Step 4: Simplify right side
    83,914,956x = 39,129,341,266,258,880
  5. Step 5: Solve for x
    x = 39,129,341,266,258,880/83,914,956
  6. Step 6: Final answer
    x = 466,297,584.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.