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Finding the Third Proportional to 100,009.69 and 236,082.09

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Solution

The third proportional to 100,009.69 and 236,082.09 is: 557,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,009.69 : 236,082.09 = 236,082.09 : x
  2. Step 2: Convert to fraction form
    100,009.69/236,082.09 = 236,082.09/x
  3. Step 3: Cross multiply
    100,009.69x = 236,082.09 × 236,082.09
  4. Step 4: Simplify right side
    100,009.69x = 55,734,754,989.38
  5. Step 5: Solve for x
    x = 55,734,754,989.38/100,009.69
  6. Step 6: Final answer
    x = 557,293.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.