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Finding the Third Proportional to 90,462.75 and 197,692.50

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Solution

The third proportional to 90,462.75 and 197,692.50 is: 432,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,462.75 : 197,692.50 = 197,692.50 : x
  2. Step 2: Convert to fraction form
    90,462.75/197,692.50 = 197,692.50/x
  3. Step 3: Cross multiply
    90,462.75x = 197,692.50 × 197,692.50
  4. Step 4: Simplify right side
    90,462.75x = 39,082,324,556.25
  5. Step 5: Solve for x
    x = 39,082,324,556.25/90,462.75
  6. Step 6: Final answer
    x = 432,026.71

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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.