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Finding the Third Proportional to 89,692.25 and 192,263.50

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Solution

The third proportional to 89,692.25 and 192,263.50 is: 412,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,692.25 : 192,263.50 = 192,263.50 : x
  2. Step 2: Convert to fraction form
    89,692.25/192,263.50 = 192,263.50/x
  3. Step 3: Cross multiply
    89,692.25x = 192,263.50 × 192,263.50
  4. Step 4: Simplify right side
    89,692.25x = 36,965,253,432.25
  5. Step 5: Solve for x
    x = 36,965,253,432.25/89,692.25
  6. Step 6: Final answer
    x = 412,134.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.