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Finding the Third Proportional to 50,413.50 and 108,683.75

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Solution

The third proportional to 50,413.50 and 108,683.75 is: 234,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,413.50 : 108,683.75 = 108,683.75 : x
  2. Step 2: Convert to fraction form
    50,413.50/108,683.75 = 108,683.75/x
  3. Step 3: Cross multiply
    50,413.50x = 108,683.75 × 108,683.75
  4. Step 4: Simplify right side
    50,413.50x = 11,812,157,514.06
  5. Step 5: Solve for x
    x = 11,812,157,514.06/50,413.50
  6. Step 6: Final answer
    x = 234,305.44

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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.