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Finding the Third Proportional to 104,496.75 and 221,413.50

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Solution

The third proportional to 104,496.75 and 221,413.50 is: 469,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,496.75 : 221,413.50 = 221,413.50 : x
  2. Step 2: Convert to fraction form
    104,496.75/221,413.50 = 221,413.50/x
  3. Step 3: Cross multiply
    104,496.75x = 221,413.50 × 221,413.50
  4. Step 4: Simplify right side
    104,496.75x = 49,023,937,982.25
  5. Step 5: Solve for x
    x = 49,023,937,982.25/104,496.75
  6. Step 6: Final answer
    x = 469,143.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.