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Finding the Third Proportional to 119,738.81 and 166,486.22

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Solution

The third proportional to 119,738.81 and 166,486.22 is: 231,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,738.81 : 166,486.22 = 166,486.22 : x
  2. Step 2: Convert to fraction form
    119,738.81/166,486.22 = 166,486.22/x
  3. Step 3: Cross multiply
    119,738.81x = 166,486.22 × 166,486.22
  4. Step 4: Simplify right side
    119,738.81x = 27,717,661,033.67
  5. Step 5: Solve for x
    x = 27,717,661,033.67/119,738.81
  6. Step 6: Final answer
    x = 231,484.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.