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Finding the Third Proportional to 100,522.50 and 221,035

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Solution

The third proportional to 100,522.50 and 221,035 is: 486,025.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,522.50 : 221,035 = 221,035 : x
  2. Step 2: Convert to fraction form
    100,522.50/221,035 = 221,035/x
  3. Step 3: Cross multiply
    100,522.50x = 221,035 × 221,035
  4. Step 4: Simplify right side
    100,522.50x = 48,856,471,225
  5. Step 5: Solve for x
    x = 48,856,471,225/100,522.50
  6. Step 6: Final answer
    x = 486,025.23

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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.