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Finding the Third Proportional to 83,914,949 and 197,811,360

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Solution

The third proportional to 83,914,949 and 197,811,360 is: 466,297,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,914,949 : 197,811,360 = 197,811,360 : x
  2. Step 2: Convert to fraction form
    83,914,949/197,811,360 = 197,811,360/x
  3. Step 3: Cross multiply
    83,914,949x = 197,811,360 × 197,811,360
  4. Step 4: Simplify right side
    83,914,949x = 39,129,334,145,049,600
  5. Step 5: Solve for x
    x = 39,129,334,145,049,600/83,914,949
  6. Step 6: Final answer
    x = 466,297,538.30

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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.