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Finding the Third Proportional to 85,849.88 and 187,965.56

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Solution

The third proportional to 85,849.88 and 187,965.56 is: 411,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,849.88 : 187,965.56 = 187,965.56 : x
  2. Step 2: Convert to fraction form
    85,849.88/187,965.56 = 187,965.56/x
  3. Step 3: Cross multiply
    85,849.88x = 187,965.56 × 187,965.56
  4. Step 4: Simplify right side
    85,849.88x = 35,331,052,685.94
  5. Step 5: Solve for x
    x = 35,331,052,685.94/85,849.88
  6. Step 6: Final answer
    x = 411,544.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.