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Finding the Third Proportional to 97,606 and 203,684

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Solution

The third proportional to 97,606 and 203,684 is: 425,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,606 : 203,684 = 203,684 : x
  2. Step 2: Convert to fraction form
    97,606/203,684 = 203,684/x
  3. Step 3: Cross multiply
    97,606x = 203,684 × 203,684
  4. Step 4: Simplify right side
    97,606x = 41,487,171,856
  5. Step 5: Solve for x
    x = 41,487,171,856/97,606
  6. Step 6: Final answer
    x = 425,047.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.