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Finding the Third Proportional to 48,518.37 and 105,579.70

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Solution

The third proportional to 48,518.37 and 105,579.70 is: 229,749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,518.37 : 105,579.70 = 105,579.70 : x
  2. Step 2: Convert to fraction form
    48,518.37/105,579.70 = 105,579.70/x
  3. Step 3: Cross multiply
    48,518.37x = 105,579.70 × 105,579.70
  4. Step 4: Simplify right side
    48,518.37x = 11,147,073,711.96
  5. Step 5: Solve for x
    x = 11,147,073,711.96/48,518.37
  6. Step 6: Final answer
    x = 229,749.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.