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Finding the Third Proportional to 86,065.50 and 186,429.75

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Solution

The third proportional to 86,065.50 and 186,429.75 is: 403,832.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,065.50 : 186,429.75 = 186,429.75 : x
  2. Step 2: Convert to fraction form
    86,065.50/186,429.75 = 186,429.75/x
  3. Step 3: Cross multiply
    86,065.50x = 186,429.75 × 186,429.75
  4. Step 4: Simplify right side
    86,065.50x = 34,756,051,685.06
  5. Step 5: Solve for x
    x = 34,756,051,685.06/86,065.50
  6. Step 6: Final answer
    x = 403,832.57

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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.