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Finding the Third Proportional to 96,511.88 and 139,231.13

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Solution

The third proportional to 96,511.88 and 139,231.13 is: 200,859.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,511.88 : 139,231.13 = 139,231.13 : x
  2. Step 2: Convert to fraction form
    96,511.88/139,231.13 = 139,231.13/x
  3. Step 3: Cross multiply
    96,511.88x = 139,231.13 × 139,231.13
  4. Step 4: Simplify right side
    96,511.88x = 19,385,306,168.77
  5. Step 5: Solve for x
    x = 19,385,306,168.77/96,511.88
  6. Step 6: Final answer
    x = 200,859.28

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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.