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Finding the Third Proportional to 90,107.44 and 188,719.88

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Solution

The third proportional to 90,107.44 and 188,719.88 is: 395,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,107.44 : 188,719.88 = 188,719.88 : x
  2. Step 2: Convert to fraction form
    90,107.44/188,719.88 = 188,719.88/x
  3. Step 3: Cross multiply
    90,107.44x = 188,719.88 × 188,719.88
  4. Step 4: Simplify right side
    90,107.44x = 35,615,191,220.02
  5. Step 5: Solve for x
    x = 35,615,191,220.02/90,107.44
  6. Step 6: Final answer
    x = 395,252.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.