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Finding the Third Proportional to 91,703 and 200,901

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Solution

The third proportional to 91,703 and 200,901 is: 440,129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,703 : 200,901 = 200,901 : x
  2. Step 2: Convert to fraction form
    91,703/200,901 = 200,901/x
  3. Step 3: Cross multiply
    91,703x = 200,901 × 200,901
  4. Step 4: Simplify right side
    91,703x = 40,361,211,801
  5. Step 5: Solve for x
    x = 40,361,211,801/91,703
  6. Step 6: Final answer
    x = 440,129.68

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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.