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Finding the Third Proportional to 86,896.13 and 131,569.31

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Solution

The third proportional to 86,896.13 and 131,569.31 is: 199,208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,896.13 : 131,569.31 = 131,569.31 : x
  2. Step 2: Convert to fraction form
    86,896.13/131,569.31 = 131,569.31/x
  3. Step 3: Cross multiply
    86,896.13x = 131,569.31 × 131,569.31
  4. Step 4: Simplify right side
    86,896.13x = 17,310,483,991.72
  5. Step 5: Solve for x
    x = 17,310,483,991.72/86,896.13
  6. Step 6: Final answer
    x = 199,208.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.