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Finding the Third Proportional to 48,226.03 and 105,789.94

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Solution

The third proportional to 48,226.03 and 105,789.94 is: 232,063.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,226.03 : 105,789.94 = 105,789.94 : x
  2. Step 2: Convert to fraction form
    48,226.03/105,789.94 = 105,789.94/x
  3. Step 3: Cross multiply
    48,226.03x = 105,789.94 × 105,789.94
  4. Step 4: Simplify right side
    48,226.03x = 11,191,510,876.25
  5. Step 5: Solve for x
    x = 11,191,510,876.25/48,226.03
  6. Step 6: Final answer
    x = 232,063.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.