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Finding the Third Proportional to 97,216 and 209,606

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Solution

The third proportional to 97,216 and 209,606 is: 451,928.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,216 : 209,606 = 209,606 : x
  2. Step 2: Convert to fraction form
    97,216/209,606 = 209,606/x
  3. Step 3: Cross multiply
    97,216x = 209,606 × 209,606
  4. Step 4: Simplify right side
    97,216x = 43,934,675,236
  5. Step 5: Solve for x
    x = 43,934,675,236/97,216
  6. Step 6: Final answer
    x = 451,928.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.