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Finding the Third Proportional to 41,684.06 and 91,274.06

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Solution

The third proportional to 41,684.06 and 91,274.06 is: 199,859.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,684.06 : 91,274.06 = 91,274.06 : x
  2. Step 2: Convert to fraction form
    41,684.06/91,274.06 = 91,274.06/x
  3. Step 3: Cross multiply
    41,684.06x = 91,274.06 × 91,274.06
  4. Step 4: Simplify right side
    41,684.06x = 8,330,954,485.25
  5. Step 5: Solve for x
    x = 8,330,954,485.25/41,684.06
  6. Step 6: Final answer
    x = 199,859.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.