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Finding the Third Proportional to 92,403 and 202,849

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Solution

The third proportional to 92,403 and 202,849 is: 445,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,403 : 202,849 = 202,849 : x
  2. Step 2: Convert to fraction form
    92,403/202,849 = 202,849/x
  3. Step 3: Cross multiply
    92,403x = 202,849 × 202,849
  4. Step 4: Simplify right side
    92,403x = 41,147,716,801
  5. Step 5: Solve for x
    x = 41,147,716,801/92,403
  6. Step 6: Final answer
    x = 445,307.15

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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.