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Finding the Third Proportional to 48,284.25 and 100,980.75

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Solution

The third proportional to 48,284.25 and 100,980.75 is: 211,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,284.25 : 100,980.75 = 100,980.75 : x
  2. Step 2: Convert to fraction form
    48,284.25/100,980.75 = 100,980.75/x
  3. Step 3: Cross multiply
    48,284.25x = 100,980.75 × 100,980.75
  4. Step 4: Simplify right side
    48,284.25x = 10,197,111,870.56
  5. Step 5: Solve for x
    x = 10,197,111,870.56/48,284.25
  6. Step 6: Final answer
    x = 211,189.19

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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.