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Finding the Third Proportional to 97,412 and 209,872

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Solution

The third proportional to 97,412 and 209,872 is: 452,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,412 : 209,872 = 209,872 : x
  2. Step 2: Convert to fraction form
    97,412/209,872 = 209,872/x
  3. Step 3: Cross multiply
    97,412x = 209,872 × 209,872
  4. Step 4: Simplify right side
    97,412x = 44,046,256,384
  5. Step 5: Solve for x
    x = 44,046,256,384/97,412
  6. Step 6: Final answer
    x = 452,164.58

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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.