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Finding the Third Proportional to 48,858.19 and 105,234.19

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Solution

The third proportional to 48,858.19 and 105,234.19 is: 226,660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,858.19 : 105,234.19 = 105,234.19 : x
  2. Step 2: Convert to fraction form
    48,858.19/105,234.19 = 105,234.19/x
  3. Step 3: Cross multiply
    48,858.19x = 105,234.19 × 105,234.19
  4. Step 4: Simplify right side
    48,858.19x = 11,074,234,218.79
  5. Step 5: Solve for x
    x = 11,074,234,218.79/48,858.19
  6. Step 6: Final answer
    x = 226,660.77

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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.