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Finding the Third Proportional to 88,942.50 and 192,647.25

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Solution

The third proportional to 88,942.50 and 192,647.25 is: 417,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,942.50 : 192,647.25 = 192,647.25 : x
  2. Step 2: Convert to fraction form
    88,942.50/192,647.25 = 192,647.25/x
  3. Step 3: Cross multiply
    88,942.50x = 192,647.25 × 192,647.25
  4. Step 4: Simplify right side
    88,942.50x = 37,112,962,932.56
  5. Step 5: Solve for x
    x = 37,112,962,932.56/88,942.50
  6. Step 6: Final answer
    x = 417,269.17

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.