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Finding the Third Proportional to 109,150.88 and 165,570.75

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Solution

The third proportional to 109,150.88 and 165,570.75 is: 251,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,150.88 : 165,570.75 = 165,570.75 : x
  2. Step 2: Convert to fraction form
    109,150.88/165,570.75 = 165,570.75/x
  3. Step 3: Cross multiply
    109,150.88x = 165,570.75 × 165,570.75
  4. Step 4: Simplify right side
    109,150.88x = 27,413,673,255.56
  5. Step 5: Solve for x
    x = 27,413,673,255.56/109,150.88
  6. Step 6: Final answer
    x = 251,153.95

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.