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Finding the Third Proportional to 50,303 and 109,821

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Solution

The third proportional to 50,303 and 109,821 is: 239,760.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,303 : 109,821 = 109,821 : x
  2. Step 2: Convert to fraction form
    50,303/109,821 = 109,821/x
  3. Step 3: Cross multiply
    50,303x = 109,821 × 109,821
  4. Step 4: Simplify right side
    50,303x = 12,060,652,041
  5. Step 5: Solve for x
    x = 12,060,652,041/50,303
  6. Step 6: Final answer
    x = 239,760.09

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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.