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Finding the Third Proportional to 48,956.91 and 103,809.09

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Solution

The third proportional to 48,956.91 and 103,809.09 is: 220,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,956.91 : 103,809.09 = 103,809.09 : x
  2. Step 2: Convert to fraction form
    48,956.91/103,809.09 = 103,809.09/x
  3. Step 3: Cross multiply
    48,956.91x = 103,809.09 × 103,809.09
  4. Step 4: Simplify right side
    48,956.91x = 10,776,327,945.20
  5. Step 5: Solve for x
    x = 10,776,327,945.20/48,956.91
  6. Step 6: Final answer
    x = 220,118.65

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.