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Finding the Third Proportional to 96,228 and 138,601.13

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Solution

The third proportional to 96,228 and 138,601.13 is: 199,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,228 : 138,601.13 = 138,601.13 : x
  2. Step 2: Convert to fraction form
    96,228/138,601.13 = 138,601.13/x
  3. Step 3: Cross multiply
    96,228x = 138,601.13 × 138,601.13
  4. Step 4: Simplify right side
    96,228x = 19,210,271,851.27
  5. Step 5: Solve for x
    x = 19,210,271,851.27/96,228
  6. Step 6: Final answer
    x = 199,632.87

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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.