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Finding the Third Proportional to 88,724.53 and 192,203.72

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Solution

The third proportional to 88,724.53 and 192,203.72 is: 416,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,724.53 : 192,203.72 = 192,203.72 : x
  2. Step 2: Convert to fraction form
    88,724.53/192,203.72 = 192,203.72/x
  3. Step 3: Cross multiply
    88,724.53x = 192,203.72 × 192,203.72
  4. Step 4: Simplify right side
    88,724.53x = 36,942,269,501.33
  5. Step 5: Solve for x
    x = 36,942,269,501.33/88,724.53
  6. Step 6: Final answer
    x = 416,370.41

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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.