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Finding the Third Proportional to 96,419 and 207,634

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Solution

The third proportional to 96,419 and 207,634 is: 447,130.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,419 : 207,634 = 207,634 : x
  2. Step 2: Convert to fraction form
    96,419/207,634 = 207,634/x
  3. Step 3: Cross multiply
    96,419x = 207,634 × 207,634
  4. Step 4: Simplify right side
    96,419x = 43,111,877,956
  5. Step 5: Solve for x
    x = 43,111,877,956/96,419
  6. Step 6: Final answer
    x = 447,130.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.