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Finding the Third Proportional to 49,952.53 and 104,522.06

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Solution

The third proportional to 49,952.53 and 104,522.06 is: 218,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,952.53 : 104,522.06 = 104,522.06 : x
  2. Step 2: Convert to fraction form
    49,952.53/104,522.06 = 104,522.06/x
  3. Step 3: Cross multiply
    49,952.53x = 104,522.06 × 104,522.06
  4. Step 4: Simplify right side
    49,952.53x = 10,924,861,549.25
  5. Step 5: Solve for x
    x = 10,924,861,549.25/49,952.53
  6. Step 6: Final answer
    x = 218,704.86

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.