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Finding the Third Proportional to 95,413.50 and 219,804.75

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Solution

The third proportional to 95,413.50 and 219,804.75 is: 506,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,413.50 : 219,804.75 = 219,804.75 : x
  2. Step 2: Convert to fraction form
    95,413.50/219,804.75 = 219,804.75/x
  3. Step 3: Cross multiply
    95,413.50x = 219,804.75 × 219,804.75
  4. Step 4: Simplify right side
    95,413.50x = 48,314,128,122.56
  5. Step 5: Solve for x
    x = 48,314,128,122.56/95,413.50
  6. Step 6: Final answer
    x = 506,365.75

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.