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Finding the Third Proportional to 88,843.50 and 191,912.25

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Solution

The third proportional to 88,843.50 and 191,912.25 is: 414,552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,843.50 : 191,912.25 = 191,912.25 : x
  2. Step 2: Convert to fraction form
    88,843.50/191,912.25 = 191,912.25/x
  3. Step 3: Cross multiply
    88,843.50x = 191,912.25 × 191,912.25
  4. Step 4: Simplify right side
    88,843.50x = 36,830,311,700.06
  5. Step 5: Solve for x
    x = 36,830,311,700.06/88,843.50
  6. Step 6: Final answer
    x = 414,552.69

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