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Finding the Third Proportional to 91,599.54 and 201,834.56

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Solution

The third proportional to 91,599.54 and 201,834.56 is: 444,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,599.54 : 201,834.56 = 201,834.56 : x
  2. Step 2: Convert to fraction form
    91,599.54/201,834.56 = 201,834.56/x
  3. Step 3: Cross multiply
    91,599.54x = 201,834.56 × 201,834.56
  4. Step 4: Simplify right side
    91,599.54x = 40,737,190,619.57
  5. Step 5: Solve for x
    x = 40,737,190,619.57/91,599.54
  6. Step 6: Final answer
    x = 444,731.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.