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Finding the Third Proportional to 197,914,952 and 401,397,520

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Solution

The third proportional to 197,914,952 and 401,397,520 is: 814,086,896.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,914,952 : 401,397,520 = 401,397,520 : x
  2. Step 2: Convert to fraction form
    197,914,952/401,397,520 = 401,397,520/x
  3. Step 3: Cross multiply
    197,914,952x = 401,397,520 × 401,397,520
  4. Step 4: Simplify right side
    197,914,952x = 161,119,969,062,150,400
  5. Step 5: Solve for x
    x = 161,119,969,062,150,400/197,914,952
  6. Step 6: Final answer
    x = 814,086,896.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.