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Finding the Third Proportional to 92,211 and 202,278

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Solution

The third proportional to 92,211 and 202,278 is: 443,725.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,211 : 202,278 = 202,278 : x
  2. Step 2: Convert to fraction form
    92,211/202,278 = 202,278/x
  3. Step 3: Cross multiply
    92,211x = 202,278 × 202,278
  4. Step 4: Simplify right side
    92,211x = 40,916,389,284
  5. Step 5: Solve for x
    x = 40,916,389,284/92,211
  6. Step 6: Final answer
    x = 443,725.69

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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.