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Finding the Third Proportional to 96,826.50 and 198,999

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Solution

The third proportional to 96,826.50 and 198,999 is: 408,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,826.50 : 198,999 = 198,999 : x
  2. Step 2: Convert to fraction form
    96,826.50/198,999 = 198,999/x
  3. Step 3: Cross multiply
    96,826.50x = 198,999 × 198,999
  4. Step 4: Simplify right side
    96,826.50x = 39,600,602,001
  5. Step 5: Solve for x
    x = 39,600,602,001/96,826.50
  6. Step 6: Final answer
    x = 408,985.16

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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.