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Finding the Third Proportional to 85,384.13 and 187,170.75

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Solution

The third proportional to 85,384.13 and 187,170.75 is: 410,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,384.13 : 187,170.75 = 187,170.75 : x
  2. Step 2: Convert to fraction form
    85,384.13/187,170.75 = 187,170.75/x
  3. Step 3: Cross multiply
    85,384.13x = 187,170.75 × 187,170.75
  4. Step 4: Simplify right side
    85,384.13x = 35,032,889,655.56
  5. Step 5: Solve for x
    x = 35,032,889,655.56/85,384.13
  6. Step 6: Final answer
    x = 410,297.46

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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.