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Finding the Third Proportional to 97,313.25 and 209,631

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Solution

The third proportional to 97,313.25 and 209,631 is: 451,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,313.25 : 209,631 = 209,631 : x
  2. Step 2: Convert to fraction form
    97,313.25/209,631 = 209,631/x
  3. Step 3: Cross multiply
    97,313.25x = 209,631 × 209,631
  4. Step 4: Simplify right side
    97,313.25x = 43,945,156,161
  5. Step 5: Solve for x
    x = 43,945,156,161/97,313.25
  6. Step 6: Final answer
    x = 451,584.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.