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Finding the Third Proportional to 40,601.75 and 90,430.75

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Solution

The third proportional to 40,601.75 and 90,430.75 is: 201,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,601.75 : 90,430.75 = 90,430.75 : x
  2. Step 2: Convert to fraction form
    40,601.75/90,430.75 = 90,430.75/x
  3. Step 3: Cross multiply
    40,601.75x = 90,430.75 × 90,430.75
  4. Step 4: Simplify right side
    40,601.75x = 8,177,720,545.56
  5. Step 5: Solve for x
    x = 8,177,720,545.56/40,601.75
  6. Step 6: Final answer
    x = 201,413.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.