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Finding the Third Proportional to 96,022.88 and 138,324.38

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Solution

The third proportional to 96,022.88 and 138,324.38 is: 199,261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,022.88 : 138,324.38 = 138,324.38 : x
  2. Step 2: Convert to fraction form
    96,022.88/138,324.38 = 138,324.38/x
  3. Step 3: Cross multiply
    96,022.88x = 138,324.38 × 138,324.38
  4. Step 4: Simplify right side
    96,022.88x = 19,133,632,719.14
  5. Step 5: Solve for x
    x = 19,133,632,719.14/96,022.88
  6. Step 6: Final answer
    x = 199,261.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.