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Finding the Third Proportional to 119,669.91 and 181,991.81

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Solution

The third proportional to 119,669.91 and 181,991.81 is: 276,769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,669.91 : 181,991.81 = 181,991.81 : x
  2. Step 2: Convert to fraction form
    119,669.91/181,991.81 = 181,991.81/x
  3. Step 3: Cross multiply
    119,669.91x = 181,991.81 × 181,991.81
  4. Step 4: Simplify right side
    119,669.91x = 33,121,019,817.04
  5. Step 5: Solve for x
    x = 33,121,019,817.04/119,669.91
  6. Step 6: Final answer
    x = 276,769.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.