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Finding the Third Proportional to 48,894.19 and 102,321.84

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Solution

The third proportional to 48,894.19 and 102,321.84 is: 214,130.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,894.19 : 102,321.84 = 102,321.84 : x
  2. Step 2: Convert to fraction form
    48,894.19/102,321.84 = 102,321.84/x
  3. Step 3: Cross multiply
    48,894.19x = 102,321.84 × 102,321.84
  4. Step 4: Simplify right side
    48,894.19x = 10,469,759,708.40
  5. Step 5: Solve for x
    x = 10,469,759,708.40/48,894.19
  6. Step 6: Final answer
    x = 214,130.97

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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.