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Finding the Third Proportional to 83,914,947 and 197,811,355.50

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Solution

The third proportional to 83,914,947 and 197,811,355.50 is: 466,297,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,914,947 : 197,811,355.50 = 197,811,355.50 : x
  2. Step 2: Convert to fraction form
    83,914,947/197,811,355.50 = 197,811,355.50/x
  3. Step 3: Cross multiply
    83,914,947x = 197,811,355.50 × 197,811,355.50
  4. Step 4: Simplify right side
    83,914,947x = 39,129,332,364,747,384
  5. Step 5: Solve for x
    x = 39,129,332,364,747,384/83,914,947
  6. Step 6: Final answer
    x = 466,297,528.20

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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.