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Finding the Third Proportional to 97,696 and 209,208

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Solution

The third proportional to 97,696 and 209,208 is: 448,001.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,696 : 209,208 = 209,208 : x
  2. Step 2: Convert to fraction form
    97,696/209,208 = 209,208/x
  3. Step 3: Cross multiply
    97,696x = 209,208 × 209,208
  4. Step 4: Simplify right side
    97,696x = 43,767,987,264
  5. Step 5: Solve for x
    x = 43,767,987,264/97,696
  6. Step 6: Final answer
    x = 448,001.83

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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.