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Finding the Third Proportional to 91,361 and 203,483

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Solution

The third proportional to 91,361 and 203,483 is: 453,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,361 : 203,483 = 203,483 : x
  2. Step 2: Convert to fraction form
    91,361/203,483 = 203,483/x
  3. Step 3: Cross multiply
    91,361x = 203,483 × 203,483
  4. Step 4: Simplify right side
    91,361x = 41,405,331,289
  5. Step 5: Solve for x
    x = 41,405,331,289/91,361
  6. Step 6: Final answer
    x = 453,205.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.