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Finding the Third Proportional to 97,214 and 209,196

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Solution

The third proportional to 97,214 and 209,196 is: 450,171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,214 : 209,196 = 209,196 : x
  2. Step 2: Convert to fraction form
    97,214/209,196 = 209,196/x
  3. Step 3: Cross multiply
    97,214x = 209,196 × 209,196
  4. Step 4: Simplify right side
    97,214x = 43,762,966,416
  5. Step 5: Solve for x
    x = 43,762,966,416/97,214
  6. Step 6: Final answer
    x = 450,171.44

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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.