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Finding the Third Proportional to 48,826.13 and 105,846.75

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Solution

The third proportional to 48,826.13 and 105,846.75 is: 229,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,826.13 : 105,846.75 = 105,846.75 : x
  2. Step 2: Convert to fraction form
    48,826.13/105,846.75 = 105,846.75/x
  3. Step 3: Cross multiply
    48,826.13x = 105,846.75 × 105,846.75
  4. Step 4: Simplify right side
    48,826.13x = 11,203,534,485.56
  5. Step 5: Solve for x
    x = 11,203,534,485.56/48,826.13
  6. Step 6: Final answer
    x = 229,457.78

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Why These Related Problems?

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