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Finding the Third Proportional to 99,596 and 214,744

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Solution

The third proportional to 99,596 and 214,744 is: 463,020.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,596 : 214,744 = 214,744 : x
  2. Step 2: Convert to fraction form
    99,596/214,744 = 214,744/x
  3. Step 3: Cross multiply
    99,596x = 214,744 × 214,744
  4. Step 4: Simplify right side
    99,596x = 46,114,985,536
  5. Step 5: Solve for x
    x = 46,114,985,536/99,596
  6. Step 6: Final answer
    x = 463,020.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.