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Finding the Third Proportional to 91,605 and 200,922

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Solution

The third proportional to 91,605 and 200,922 is: 440,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,605 : 200,922 = 200,922 : x
  2. Step 2: Convert to fraction form
    91,605/200,922 = 200,922/x
  3. Step 3: Cross multiply
    91,605x = 200,922 × 200,922
  4. Step 4: Simplify right side
    91,605x = 40,369,650,084
  5. Step 5: Solve for x
    x = 40,369,650,084/91,605
  6. Step 6: Final answer
    x = 440,692.65

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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.