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Finding the Third Proportional to 103,558.50 and 223,413.19

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Solution

The third proportional to 103,558.50 and 223,413.19 is: 481,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,558.50 : 223,413.19 = 223,413.19 : x
  2. Step 2: Convert to fraction form
    103,558.50/223,413.19 = 223,413.19/x
  3. Step 3: Cross multiply
    103,558.50x = 223,413.19 × 223,413.19
  4. Step 4: Simplify right side
    103,558.50x = 49,913,452,348.91
  5. Step 5: Solve for x
    x = 49,913,452,348.91/103,558.50
  6. Step 6: Final answer
    x = 481,983.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.