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Finding the Third Proportional to 96,829.50 and 199,005

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Solution

The third proportional to 96,829.50 and 199,005 is: 408,997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,829.50 : 199,005 = 199,005 : x
  2. Step 2: Convert to fraction form
    96,829.50/199,005 = 199,005/x
  3. Step 3: Cross multiply
    96,829.50x = 199,005 × 199,005
  4. Step 4: Simplify right side
    96,829.50x = 39,602,990,025
  5. Step 5: Solve for x
    x = 39,602,990,025/96,829.50
  6. Step 6: Final answer
    x = 408,997.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.