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Finding the Third Proportional to 97,586 and 213,022

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Solution

The third proportional to 97,586 and 213,022 is: 465,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,586 : 213,022 = 213,022 : x
  2. Step 2: Convert to fraction form
    97,586/213,022 = 213,022/x
  3. Step 3: Cross multiply
    97,586x = 213,022 × 213,022
  4. Step 4: Simplify right side
    97,586x = 45,378,372,484
  5. Step 5: Solve for x
    x = 45,378,372,484/97,586
  6. Step 6: Final answer
    x = 465,009.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.