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Finding the Third Proportional to 92,104.50 and 197,661.75

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Solution

The third proportional to 92,104.50 and 197,661.75 is: 424,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,104.50 : 197,661.75 = 197,661.75 : x
  2. Step 2: Convert to fraction form
    92,104.50/197,661.75 = 197,661.75/x
  3. Step 3: Cross multiply
    92,104.50x = 197,661.75 × 197,661.75
  4. Step 4: Simplify right side
    92,104.50x = 39,070,167,413.06
  5. Step 5: Solve for x
    x = 39,070,167,413.06/92,104.50
  6. Step 6: Final answer
    x = 424,193.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.