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Finding the Third Proportional to 189,226.88 and 223,786.88

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Solution

The third proportional to 189,226.88 and 223,786.88 is: 264,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,226.88 : 223,786.88 = 223,786.88 : x
  2. Step 2: Convert to fraction form
    189,226.88/223,786.88 = 223,786.88/x
  3. Step 3: Cross multiply
    189,226.88x = 223,786.88 × 223,786.88
  4. Step 4: Simplify right side
    189,226.88x = 50,080,565,422.27
  5. Step 5: Solve for x
    x = 50,080,565,422.27/189,226.88
  6. Step 6: Final answer
    x = 264,658.84

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.