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Finding the Third Proportional to 96,791 and 212,278

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Solution

The third proportional to 96,791 and 212,278 is: 465,559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,791 : 212,278 = 212,278 : x
  2. Step 2: Convert to fraction form
    96,791/212,278 = 212,278/x
  3. Step 3: Cross multiply
    96,791x = 212,278 × 212,278
  4. Step 4: Simplify right side
    96,791x = 45,061,949,284
  5. Step 5: Solve for x
    x = 45,061,949,284/96,791
  6. Step 6: Final answer
    x = 465,559.29

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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.