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Finding the Third Proportional to 50,099.50 and 109,433

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Solution

The third proportional to 50,099.50 and 109,433 is: 239,035.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,099.50 : 109,433 = 109,433 : x
  2. Step 2: Convert to fraction form
    50,099.50/109,433 = 109,433/x
  3. Step 3: Cross multiply
    50,099.50x = 109,433 × 109,433
  4. Step 4: Simplify right side
    50,099.50x = 11,975,581,489
  5. Step 5: Solve for x
    x = 11,975,581,489/50,099.50
  6. Step 6: Final answer
    x = 239,035.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.