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Finding the Third Proportional to 189,226.13 and 223,786.13

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Solution

The third proportional to 189,226.13 and 223,786.13 is: 264,658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,226.13 : 223,786.13 = 223,786.13 : x
  2. Step 2: Convert to fraction form
    189,226.13/223,786.13 = 223,786.13/x
  3. Step 3: Cross multiply
    189,226.13x = 223,786.13 × 223,786.13
  4. Step 4: Simplify right side
    189,226.13x = 50,080,229,742.52
  5. Step 5: Solve for x
    x = 50,080,229,742.52/189,226.13
  6. Step 6: Final answer
    x = 264,658.12

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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.