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Finding the Third Proportional to 119,739.94 and 199,558.69

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Solution

The third proportional to 119,739.94 and 199,558.69 is: 332,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,739.94 : 199,558.69 = 199,558.69 : x
  2. Step 2: Convert to fraction form
    119,739.94/199,558.69 = 199,558.69/x
  3. Step 3: Cross multiply
    119,739.94x = 199,558.69 × 199,558.69
  4. Step 4: Simplify right side
    119,739.94x = 39,823,669,756.72
  5. Step 5: Solve for x
    x = 39,823,669,756.72/119,739.94
  6. Step 6: Final answer
    x = 332,584.69

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.