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Finding the Third Proportional to 20,138.63 and 44,446.22

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Solution

The third proportional to 20,138.63 and 44,446.22 is: 98,093.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.63 : 44,446.22 = 44,446.22 : x
  2. Step 2: Convert to fraction form
    20,138.63/44,446.22 = 44,446.22/x
  3. Step 3: Cross multiply
    20,138.63x = 44,446.22 × 44,446.22
  4. Step 4: Simplify right side
    20,138.63x = 1,975,466,361.17
  5. Step 5: Solve for x
    x = 1,975,466,361.17/20,138.63
  6. Step 6: Final answer
    x = 98,093.41

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.