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Finding the Third Proportional to 105,856.50 and 227,063

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Solution

The third proportional to 105,856.50 and 227,063 is: 487,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,856.50 : 227,063 = 227,063 : x
  2. Step 2: Convert to fraction form
    105,856.50/227,063 = 227,063/x
  3. Step 3: Cross multiply
    105,856.50x = 227,063 × 227,063
  4. Step 4: Simplify right side
    105,856.50x = 51,557,605,969
  5. Step 5: Solve for x
    x = 51,557,605,969/105,856.50
  6. Step 6: Final answer
    x = 487,051.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.