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Finding the Third Proportional to 85,692.94 and 187,995.94

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Solution

The third proportional to 85,692.94 and 187,995.94 is: 412,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,692.94 : 187,995.94 = 187,995.94 : x
  2. Step 2: Convert to fraction form
    85,692.94/187,995.94 = 187,995.94/x
  3. Step 3: Cross multiply
    85,692.94x = 187,995.94 × 187,995.94
  4. Step 4: Simplify right side
    85,692.94x = 35,342,472,516.50
  5. Step 5: Solve for x
    x = 35,342,472,516.50/85,692.94
  6. Step 6: Final answer
    x = 412,431.57

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Why These Related Problems?

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