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Finding the Third Proportional to 40,195.88 and 86,223.75

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Solution

The third proportional to 40,195.88 and 86,223.75 is: 184,957.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,195.88 : 86,223.75 = 86,223.75 : x
  2. Step 2: Convert to fraction form
    40,195.88/86,223.75 = 86,223.75/x
  3. Step 3: Cross multiply
    40,195.88x = 86,223.75 × 86,223.75
  4. Step 4: Simplify right side
    40,195.88x = 7,434,535,064.06
  5. Step 5: Solve for x
    x = 7,434,535,064.06/40,195.88
  6. Step 6: Final answer
    x = 184,957.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.