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Finding the Third Proportional to 96,977 and 213,396

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Solution

The third proportional to 96,977 and 213,396 is: 469,573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,977 : 213,396 = 213,396 : x
  2. Step 2: Convert to fraction form
    96,977/213,396 = 213,396/x
  3. Step 3: Cross multiply
    96,977x = 213,396 × 213,396
  4. Step 4: Simplify right side
    96,977x = 45,537,852,816
  5. Step 5: Solve for x
    x = 45,537,852,816/96,977
  6. Step 6: Final answer
    x = 469,573.74

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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.