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Finding the Third Proportional to 48,284.75 and 100,981.75

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Solution

The third proportional to 48,284.75 and 100,981.75 is: 211,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,284.75 : 100,981.75 = 100,981.75 : x
  2. Step 2: Convert to fraction form
    48,284.75/100,981.75 = 100,981.75/x
  3. Step 3: Cross multiply
    48,284.75x = 100,981.75 × 100,981.75
  4. Step 4: Simplify right side
    48,284.75x = 10,197,313,833.06
  5. Step 5: Solve for x
    x = 10,197,313,833.06/48,284.75
  6. Step 6: Final answer
    x = 211,191.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.