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Finding the Third Proportional to 50,184 and 99,108

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Solution

The third proportional to 50,184 and 99,108 is: 195,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,184 : 99,108 = 99,108 : x
  2. Step 2: Convert to fraction form
    50,184/99,108 = 99,108/x
  3. Step 3: Cross multiply
    50,184x = 99,108 × 99,108
  4. Step 4: Simplify right side
    50,184x = 9,822,395,664
  5. Step 5: Solve for x
    x = 9,822,395,664/50,184
  6. Step 6: Final answer
    x = 195,727.64

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.