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Finding the Third Proportional to 22,197.19 and 48,768.38

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Solution

The third proportional to 22,197.19 and 48,768.38 is: 107,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,197.19 : 48,768.38 = 48,768.38 : x
  2. Step 2: Convert to fraction form
    22,197.19/48,768.38 = 48,768.38/x
  3. Step 3: Cross multiply
    22,197.19x = 48,768.38 × 48,768.38
  4. Step 4: Simplify right side
    22,197.19x = 2,378,354,400.14
  5. Step 5: Solve for x
    x = 2,378,354,400.14/22,197.19
  6. Step 6: Final answer
    x = 107,146.66

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