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Finding the Third Proportional to 90,891.75 and 194,153.25

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Solution

The third proportional to 90,891.75 and 194,153.25 is: 414,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,891.75 : 194,153.25 = 194,153.25 : x
  2. Step 2: Convert to fraction form
    90,891.75/194,153.25 = 194,153.25/x
  3. Step 3: Cross multiply
    90,891.75x = 194,153.25 × 194,153.25
  4. Step 4: Simplify right side
    90,891.75x = 37,695,484,485.56
  5. Step 5: Solve for x
    x = 37,695,484,485.56/90,891.75
  6. Step 6: Final answer
    x = 414,729.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.