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Finding the Third Proportional to 92,413.69 and 188,177.06

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Solution

The third proportional to 92,413.69 and 188,177.06 is: 383,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,413.69 : 188,177.06 = 188,177.06 : x
  2. Step 2: Convert to fraction form
    92,413.69/188,177.06 = 188,177.06/x
  3. Step 3: Cross multiply
    92,413.69x = 188,177.06 × 188,177.06
  4. Step 4: Simplify right side
    92,413.69x = 35,410,606,851.13
  5. Step 5: Solve for x
    x = 35,410,606,851.13/92,413.69
  6. Step 6: Final answer
    x = 383,174.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.