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Finding the Third Proportional to 97,325 and 209,841

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Solution

The third proportional to 97,325 and 209,841 is: 452,435.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,325 : 209,841 = 209,841 : x
  2. Step 2: Convert to fraction form
    97,325/209,841 = 209,841/x
  3. Step 3: Cross multiply
    97,325x = 209,841 × 209,841
  4. Step 4: Simplify right side
    97,325x = 44,033,245,281
  5. Step 5: Solve for x
    x = 44,033,245,281/97,325
  6. Step 6: Final answer
    x = 452,435.09

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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.