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Finding the Third Proportional to 138,464.44 and 197,991.84

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Solution

The third proportional to 138,464.44 and 197,991.84 is: 283,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,464.44 : 197,991.84 = 197,991.84 : x
  2. Step 2: Convert to fraction form
    138,464.44/197,991.84 = 197,991.84/x
  3. Step 3: Cross multiply
    138,464.44x = 197,991.84 × 197,991.84
  4. Step 4: Simplify right side
    138,464.44x = 39,200,770,191.52
  5. Step 5: Solve for x
    x = 39,200,770,191.52/138,464.44
  6. Step 6: Final answer
    x = 283,110.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.