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Finding the Third Proportional to 50,284 and 108,916

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Solution

The third proportional to 50,284 and 108,916 is: 235,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,284 : 108,916 = 108,916 : x
  2. Step 2: Convert to fraction form
    50,284/108,916 = 108,916/x
  3. Step 3: Cross multiply
    50,284x = 108,916 × 108,916
  4. Step 4: Simplify right side
    50,284x = 11,862,695,056
  5. Step 5: Solve for x
    x = 11,862,695,056/50,284
  6. Step 6: Final answer
    x = 235,913.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.