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Finding the Third Proportional to 109,231.88 and 164,850.19

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Solution

The third proportional to 109,231.88 and 164,850.19 is: 248,788.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,231.88 : 164,850.19 = 164,850.19 : x
  2. Step 2: Convert to fraction form
    109,231.88/164,850.19 = 164,850.19/x
  3. Step 3: Cross multiply
    109,231.88x = 164,850.19 × 164,850.19
  4. Step 4: Simplify right side
    109,231.88x = 27,175,584,318.79
  5. Step 5: Solve for x
    x = 27,175,584,318.79/109,231.88
  6. Step 6: Final answer
    x = 248,788.04

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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.