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Finding the Third Proportional to 197,199.98 and 431,921.11

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Solution

The third proportional to 197,199.98 and 431,921.11 is: 946,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,199.98 : 431,921.11 = 431,921.11 : x
  2. Step 2: Convert to fraction form
    197,199.98/431,921.11 = 431,921.11/x
  3. Step 3: Cross multiply
    197,199.98x = 431,921.11 × 431,921.11
  4. Step 4: Simplify right side
    197,199.98x = 186,555,844,723.73
  5. Step 5: Solve for x
    x = 186,555,844,723.73/197,199.98
  6. Step 6: Final answer
    x = 946,023.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.