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Finding the Third Proportional to 97,432 and 209,648

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Solution

The third proportional to 97,432 and 209,648 is: 451,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,432 : 209,648 = 209,648 : x
  2. Step 2: Convert to fraction form
    97,432/209,648 = 209,648/x
  3. Step 3: Cross multiply
    97,432x = 209,648 × 209,648
  4. Step 4: Simplify right side
    97,432x = 43,952,283,904
  5. Step 5: Solve for x
    x = 43,952,283,904/97,432
  6. Step 6: Final answer
    x = 451,107.27

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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.