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Finding the Third Proportional to 101,771.44 and 149,608.27

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Solution

The third proportional to 101,771.44 and 149,608.27 is: 219,930.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,771.44 : 149,608.27 = 149,608.27 : x
  2. Step 2: Convert to fraction form
    101,771.44/149,608.27 = 149,608.27/x
  3. Step 3: Cross multiply
    101,771.44x = 149,608.27 × 149,608.27
  4. Step 4: Simplify right side
    101,771.44x = 22,382,633,143.32
  5. Step 5: Solve for x
    x = 22,382,633,143.32/101,771.44
  6. Step 6: Final answer
    x = 219,930.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.