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Finding the Third Proportional to 92,383 and 202,950

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Solution

The third proportional to 92,383 and 202,950 is: 445,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,383 : 202,950 = 202,950 : x
  2. Step 2: Convert to fraction form
    92,383/202,950 = 202,950/x
  3. Step 3: Cross multiply
    92,383x = 202,950 × 202,950
  4. Step 4: Simplify right side
    92,383x = 41,188,702,500
  5. Step 5: Solve for x
    x = 41,188,702,500/92,383
  6. Step 6: Final answer
    x = 445,847.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.