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Finding the Third Proportional to 132,222.38 and 199,563.75

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Solution

The third proportional to 132,222.38 and 199,563.75 is: 301,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,222.38 : 199,563.75 = 199,563.75 : x
  2. Step 2: Convert to fraction form
    132,222.38/199,563.75 = 199,563.75/x
  3. Step 3: Cross multiply
    132,222.38x = 199,563.75 × 199,563.75
  4. Step 4: Simplify right side
    132,222.38x = 39,825,690,314.06
  5. Step 5: Solve for x
    x = 39,825,690,314.06/132,222.38
  6. Step 6: Final answer
    x = 301,202.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.