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Finding the Third Proportional to 41,880.16 and 90,321.33

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Solution

The third proportional to 41,880.16 and 90,321.33 is: 194,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,880.16 : 90,321.33 = 90,321.33 : x
  2. Step 2: Convert to fraction form
    41,880.16/90,321.33 = 90,321.33/x
  3. Step 3: Cross multiply
    41,880.16x = 90,321.33 × 90,321.33
  4. Step 4: Simplify right side
    41,880.16x = 8,157,942,314.26
  5. Step 5: Solve for x
    x = 8,157,942,314.26/41,880.16
  6. Step 6: Final answer
    x = 194,792.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.