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Finding the Third Proportional to 90,223.88 and 182,634.75

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Solution

The third proportional to 90,223.88 and 182,634.75 is: 369,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,223.88 : 182,634.75 = 182,634.75 : x
  2. Step 2: Convert to fraction form
    90,223.88/182,634.75 = 182,634.75/x
  3. Step 3: Cross multiply
    90,223.88x = 182,634.75 × 182,634.75
  4. Step 4: Simplify right side
    90,223.88x = 33,355,451,907.56
  5. Step 5: Solve for x
    x = 33,355,451,907.56/90,223.88
  6. Step 6: Final answer
    x = 369,696.51

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.