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Finding the Third Proportional to 91,765.50 and 203,184

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Solution

The third proportional to 91,765.50 and 203,184 is: 449,882.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,765.50 : 203,184 = 203,184 : x
  2. Step 2: Convert to fraction form
    91,765.50/203,184 = 203,184/x
  3. Step 3: Cross multiply
    91,765.50x = 203,184 × 203,184
  4. Step 4: Simplify right side
    91,765.50x = 41,283,737,856
  5. Step 5: Solve for x
    x = 41,283,737,856/91,765.50
  6. Step 6: Final answer
    x = 449,882.99

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.