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Finding the Third Proportional to 97,330 and 209,653

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Solution

The third proportional to 97,330 and 209,653 is: 451,601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,330 : 209,653 = 209,653 : x
  2. Step 2: Convert to fraction form
    97,330/209,653 = 209,653/x
  3. Step 3: Cross multiply
    97,330x = 209,653 × 209,653
  4. Step 4: Simplify right side
    97,330x = 43,954,380,409
  5. Step 5: Solve for x
    x = 43,954,380,409/97,330
  6. Step 6: Final answer
    x = 451,601.57

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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.