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Finding the Third Proportional to 103,522.50 and 222,882.75

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Solution

The third proportional to 103,522.50 and 222,882.75 is: 479,863.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,522.50 : 222,882.75 = 222,882.75 : x
  2. Step 2: Convert to fraction form
    103,522.50/222,882.75 = 222,882.75/x
  3. Step 3: Cross multiply
    103,522.50x = 222,882.75 × 222,882.75
  4. Step 4: Simplify right side
    103,522.50x = 49,676,720,247.56
  5. Step 5: Solve for x
    x = 49,676,720,247.56/103,522.50
  6. Step 6: Final answer
    x = 479,863.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.