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Finding the Third Proportional to 96,158 and 209,812

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Solution

The third proportional to 96,158 and 209,812 is: 457,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,158 : 209,812 = 209,812 : x
  2. Step 2: Convert to fraction form
    96,158/209,812 = 209,812/x
  3. Step 3: Cross multiply
    96,158x = 209,812 × 209,812
  4. Step 4: Simplify right side
    96,158x = 44,021,075,344
  5. Step 5: Solve for x
    x = 44,021,075,344/96,158
  6. Step 6: Final answer
    x = 457,799.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.