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Finding the Third Proportional to 101,718.28 and 206,204.48

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Solution

The third proportional to 101,718.28 and 206,204.48 is: 418,020.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,718.28 : 206,204.48 = 206,204.48 : x
  2. Step 2: Convert to fraction form
    101,718.28/206,204.48 = 206,204.48/x
  3. Step 3: Cross multiply
    101,718.28x = 206,204.48 × 206,204.48
  4. Step 4: Simplify right side
    101,718.28x = 42,520,289,376.36
  5. Step 5: Solve for x
    x = 42,520,289,376.36/101,718.28
  6. Step 6: Final answer
    x = 418,020.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.