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Finding the Third Proportional to 97,301 and 209,609

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Solution

The third proportional to 97,301 and 209,609 is: 451,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,301 : 209,609 = 209,609 : x
  2. Step 2: Convert to fraction form
    97,301/209,609 = 209,609/x
  3. Step 3: Cross multiply
    97,301x = 209,609 × 209,609
  4. Step 4: Simplify right side
    97,301x = 43,935,932,881
  5. Step 5: Solve for x
    x = 43,935,932,881/97,301
  6. Step 6: Final answer
    x = 451,546.57

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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.