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Finding the Third Proportional to 83,079.84 and 200,297.81

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Solution

The third proportional to 83,079.84 and 200,297.81 is: 482,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,079.84 : 200,297.81 = 200,297.81 : x
  2. Step 2: Convert to fraction form
    83,079.84/200,297.81 = 200,297.81/x
  3. Step 3: Cross multiply
    83,079.84x = 200,297.81 × 200,297.81
  4. Step 4: Simplify right side
    83,079.84x = 40,119,213,692.29
  5. Step 5: Solve for x
    x = 40,119,213,692.29/83,079.84
  6. Step 6: Final answer
    x = 482,899.48

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.