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Finding the Third Proportional to 50,446 and 109,628

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Solution

The third proportional to 50,446 and 109,628 is: 238,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,446 : 109,628 = 109,628 : x
  2. Step 2: Convert to fraction form
    50,446/109,628 = 109,628/x
  3. Step 3: Cross multiply
    50,446x = 109,628 × 109,628
  4. Step 4: Simplify right side
    50,446x = 12,018,298,384
  5. Step 5: Solve for x
    x = 12,018,298,384/50,446
  6. Step 6: Final answer
    x = 238,240.86

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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.