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Finding the Third Proportional to 40,992.25 and 88,211.75

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Solution

The third proportional to 40,992.25 and 88,211.75 is: 189,824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,992.25 : 88,211.75 = 88,211.75 : x
  2. Step 2: Convert to fraction form
    40,992.25/88,211.75 = 88,211.75/x
  3. Step 3: Cross multiply
    40,992.25x = 88,211.75 × 88,211.75
  4. Step 4: Simplify right side
    40,992.25x = 7,781,312,838.06
  5. Step 5: Solve for x
    x = 7,781,312,838.06/40,992.25
  6. Step 6: Final answer
    x = 189,824.00

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