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Finding the Third Proportional to 132,413.06 and 199,864.97

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Solution

The third proportional to 132,413.06 and 199,864.97 is: 301,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,413.06 : 199,864.97 = 199,864.97 : x
  2. Step 2: Convert to fraction form
    132,413.06/199,864.97 = 199,864.97/x
  3. Step 3: Cross multiply
    132,413.06x = 199,864.97 × 199,864.97
  4. Step 4: Simplify right side
    132,413.06x = 39,946,005,733.44
  5. Step 5: Solve for x
    x = 39,946,005,733.44/132,413.06
  6. Step 6: Final answer
    x = 301,677.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.