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Finding the Third Proportional to 86,194.13 and 200,297.81

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Solution

The third proportional to 86,194.13 and 200,297.81 is: 465,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,194.13 : 200,297.81 = 200,297.81 : x
  2. Step 2: Convert to fraction form
    86,194.13/200,297.81 = 200,297.81/x
  3. Step 3: Cross multiply
    86,194.13x = 200,297.81 × 200,297.81
  4. Step 4: Simplify right side
    86,194.13x = 40,119,213,692.29
  5. Step 5: Solve for x
    x = 40,119,213,692.29/86,194.13
  6. Step 6: Final answer
    x = 465,451.84

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.