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Finding the Third Proportional to 40,698.75 and 88,188.75

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Solution

The third proportional to 40,698.75 and 88,188.75 is: 191,093.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,698.75 : 88,188.75 = 88,188.75 : x
  2. Step 2: Convert to fraction form
    40,698.75/88,188.75 = 88,188.75/x
  3. Step 3: Cross multiply
    40,698.75x = 88,188.75 × 88,188.75
  4. Step 4: Simplify right side
    40,698.75x = 7,777,255,626.56
  5. Step 5: Solve for x
    x = 7,777,255,626.56/40,698.75
  6. Step 6: Final answer
    x = 191,093.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.