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Finding the Third Proportional to 90,449 and 195,964

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Solution

The third proportional to 90,449 and 195,964 is: 424,569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,449 : 195,964 = 195,964 : x
  2. Step 2: Convert to fraction form
    90,449/195,964 = 195,964/x
  3. Step 3: Cross multiply
    90,449x = 195,964 × 195,964
  4. Step 4: Simplify right side
    90,449x = 38,401,889,296
  5. Step 5: Solve for x
    x = 38,401,889,296/90,449
  6. Step 6: Final answer
    x = 424,569.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.