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Finding the Third Proportional to 86,933.25 and 190,491.75

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Solution

The third proportional to 86,933.25 and 190,491.75 is: 417,413.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,933.25 : 190,491.75 = 190,491.75 : x
  2. Step 2: Convert to fraction form
    86,933.25/190,491.75 = 190,491.75/x
  3. Step 3: Cross multiply
    86,933.25x = 190,491.75 × 190,491.75
  4. Step 4: Simplify right side
    86,933.25x = 36,287,106,818.06
  5. Step 5: Solve for x
    x = 36,287,106,818.06/86,933.25
  6. Step 6: Final answer
    x = 417,413.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.