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Finding the Third Proportional to 97,295 and 213,744

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Solution

The third proportional to 97,295 and 213,744 is: 469,566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,295 : 213,744 = 213,744 : x
  2. Step 2: Convert to fraction form
    97,295/213,744 = 213,744/x
  3. Step 3: Cross multiply
    97,295x = 213,744 × 213,744
  4. Step 4: Simplify right side
    97,295x = 45,686,497,536
  5. Step 5: Solve for x
    x = 45,686,497,536/97,295
  6. Step 6: Final answer
    x = 469,566.76

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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.