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Finding the Third Proportional to 86,064.19 and 186,426.56

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Solution

The third proportional to 86,064.19 and 186,426.56 is: 403,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,064.19 : 186,426.56 = 186,426.56 : x
  2. Step 2: Convert to fraction form
    86,064.19/186,426.56 = 186,426.56/x
  3. Step 3: Cross multiply
    86,064.19x = 186,426.56 × 186,426.56
  4. Step 4: Simplify right side
    86,064.19x = 34,754,863,205.57
  5. Step 5: Solve for x
    x = 34,754,863,205.57/86,064.19
  6. Step 6: Final answer
    x = 403,824.92

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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.