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Finding the Third Proportional to 97,660 and 209,144

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Solution

The third proportional to 97,660 and 209,144 is: 447,892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,660 : 209,144 = 209,144 : x
  2. Step 2: Convert to fraction form
    97,660/209,144 = 209,144/x
  3. Step 3: Cross multiply
    97,660x = 209,144 × 209,144
  4. Step 4: Simplify right side
    97,660x = 43,741,212,736
  5. Step 5: Solve for x
    x = 43,741,212,736/97,660
  6. Step 6: Final answer
    x = 447,892.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.