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Finding the Third Proportional to 96,506.44 and 139,223.39

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Solution

The third proportional to 96,506.44 and 139,223.39 is: 200,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,506.44 : 139,223.39 = 139,223.39 : x
  2. Step 2: Convert to fraction form
    96,506.44/139,223.39 = 139,223.39/x
  3. Step 3: Cross multiply
    96,506.44x = 139,223.39 × 139,223.39
  4. Step 4: Simplify right side
    96,506.44x = 19,383,152,497.12
  5. Step 5: Solve for x
    x = 19,383,152,497.12/96,506.44
  6. Step 6: Final answer
    x = 200,848.29

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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.