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Finding the Third Proportional to 100,191.94 and 204,463.69

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Solution

The third proportional to 100,191.94 and 204,463.69 is: 417,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,191.94 : 204,463.69 = 204,463.69 : x
  2. Step 2: Convert to fraction form
    100,191.94/204,463.69 = 204,463.69/x
  3. Step 3: Cross multiply
    100,191.94x = 204,463.69 × 204,463.69
  4. Step 4: Simplify right side
    100,191.94x = 41,805,399,506.10
  5. Step 5: Solve for x
    x = 41,805,399,506.10/100,191.94
  6. Step 6: Final answer
    x = 417,253.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.