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Finding the Third Proportional to 87,382.13 and 187,214.63

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Solution

The third proportional to 87,382.13 and 187,214.63 is: 401,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,382.13 : 187,214.63 = 187,214.63 : x
  2. Step 2: Convert to fraction form
    87,382.13/187,214.63 = 187,214.63/x
  3. Step 3: Cross multiply
    87,382.13x = 187,214.63 × 187,214.63
  4. Step 4: Simplify right side
    87,382.13x = 35,049,315,813.89
  5. Step 5: Solve for x
    x = 35,049,315,813.89/87,382.13
  6. Step 6: Final answer
    x = 401,103.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.