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Finding the Third Proportional to 85,816.13 and 200,468.25

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Solution

The third proportional to 85,816.13 and 200,468.25 is: 468,297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,816.13 : 200,468.25 = 200,468.25 : x
  2. Step 2: Convert to fraction form
    85,816.13/200,468.25 = 200,468.25/x
  3. Step 3: Cross multiply
    85,816.13x = 200,468.25 × 200,468.25
  4. Step 4: Simplify right side
    85,816.13x = 40,187,519,258.06
  5. Step 5: Solve for x
    x = 40,187,519,258.06/85,816.13
  6. Step 6: Final answer
    x = 468,297.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.