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Finding the Third Proportional to 100,758.94 and 217,252.13

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Solution

The third proportional to 100,758.94 and 217,252.13 is: 468,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,758.94 : 217,252.13 = 217,252.13 : x
  2. Step 2: Convert to fraction form
    100,758.94/217,252.13 = 217,252.13/x
  3. Step 3: Cross multiply
    100,758.94x = 217,252.13 × 217,252.13
  4. Step 4: Simplify right side
    100,758.94x = 47,198,485,817.02
  5. Step 5: Solve for x
    x = 47,198,485,817.02/100,758.94
  6. Step 6: Final answer
    x = 468,429.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.