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Finding the Third Proportional to 96,096 and 199,840

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Solution

The third proportional to 96,096 and 199,840 is: 415,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,096 : 199,840 = 199,840 : x
  2. Step 2: Convert to fraction form
    96,096/199,840 = 199,840/x
  3. Step 3: Cross multiply
    96,096x = 199,840 × 199,840
  4. Step 4: Simplify right side
    96,096x = 39,936,025,600
  5. Step 5: Solve for x
    x = 39,936,025,600/96,096
  6. Step 6: Final answer
    x = 415,584.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.