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Finding the Third Proportional to 45,079.88 and 96,413.63

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Solution

The third proportional to 45,079.88 and 96,413.63 is: 206,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,079.88 : 96,413.63 = 96,413.63 : x
  2. Step 2: Convert to fraction form
    45,079.88/96,413.63 = 96,413.63/x
  3. Step 3: Cross multiply
    45,079.88x = 96,413.63 × 96,413.63
  4. Step 4: Simplify right side
    45,079.88x = 9,295,587,085.64
  5. Step 5: Solve for x
    x = 9,295,587,085.64/45,079.88
  6. Step 6: Final answer
    x = 206,202.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.