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Finding the Third Proportional to 86,065.31 and 186,431.06

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Solution

The third proportional to 86,065.31 and 186,431.06 is: 403,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,065.31 : 186,431.06 = 186,431.06 : x
  2. Step 2: Convert to fraction form
    86,065.31/186,431.06 = 186,431.06/x
  3. Step 3: Cross multiply
    86,065.31x = 186,431.06 × 186,431.06
  4. Step 4: Simplify right side
    86,065.31x = 34,756,541,064.88
  5. Step 5: Solve for x
    x = 34,756,541,064.88/86,065.31
  6. Step 6: Final answer
    x = 403,839.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.