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Finding the Third Proportional to 91,216.13 and 184,983.75

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Solution

The third proportional to 91,216.13 and 184,983.75 is: 375,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,216.13 : 184,983.75 = 184,983.75 : x
  2. Step 2: Convert to fraction form
    91,216.13/184,983.75 = 184,983.75/x
  3. Step 3: Cross multiply
    91,216.13x = 184,983.75 × 184,983.75
  4. Step 4: Simplify right side
    91,216.13x = 34,218,987,764.06
  5. Step 5: Solve for x
    x = 34,218,987,764.06/91,216.13
  6. Step 6: Final answer
    x = 375,141.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.