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Finding the Third Proportional to 43,678.13 and 93,585.38

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Solution

The third proportional to 43,678.13 and 93,585.38 is: 200,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,678.13 : 93,585.38 = 93,585.38 : x
  2. Step 2: Convert to fraction form
    43,678.13/93,585.38 = 93,585.38/x
  3. Step 3: Cross multiply
    43,678.13x = 93,585.38 × 93,585.38
  4. Step 4: Simplify right side
    43,678.13x = 8,758,222,413.89
  5. Step 5: Solve for x
    x = 8,758,222,413.89/43,678.13
  6. Step 6: Final answer
    x = 200,517.36

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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.