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Finding the Third Proportional to 96,774.75 and 202,419

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Solution

The third proportional to 96,774.75 and 202,419 is: 423,389.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,774.75 : 202,419 = 202,419 : x
  2. Step 2: Convert to fraction form
    96,774.75/202,419 = 202,419/x
  3. Step 3: Cross multiply
    96,774.75x = 202,419 × 202,419
  4. Step 4: Simplify right side
    96,774.75x = 40,973,451,561
  5. Step 5: Solve for x
    x = 40,973,451,561/96,774.75
  6. Step 6: Final answer
    x = 423,389.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.