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Finding the Third Proportional to 48,194 and 104,433

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Solution

The third proportional to 48,194 and 104,433 is: 226,298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,194 : 104,433 = 104,433 : x
  2. Step 2: Convert to fraction form
    48,194/104,433 = 104,433/x
  3. Step 3: Cross multiply
    48,194x = 104,433 × 104,433
  4. Step 4: Simplify right side
    48,194x = 10,906,251,489
  5. Step 5: Solve for x
    x = 10,906,251,489/48,194
  6. Step 6: Final answer
    x = 226,298.95

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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.