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Finding the Third Proportional to 97,214 and 209,602

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Solution

The third proportional to 97,214 and 209,602 is: 451,920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,214 : 209,602 = 209,602 : x
  2. Step 2: Convert to fraction form
    97,214/209,602 = 209,602/x
  3. Step 3: Cross multiply
    97,214x = 209,602 × 209,602
  4. Step 4: Simplify right side
    97,214x = 43,932,998,404
  5. Step 5: Solve for x
    x = 43,932,998,404/97,214
  6. Step 6: Final answer
    x = 451,920.49

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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.