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Finding the Third Proportional to 97,324 and 209,641

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Solution

The third proportional to 97,324 and 209,641 is: 451,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,324 : 209,641 = 209,641 : x
  2. Step 2: Convert to fraction form
    97,324/209,641 = 209,641/x
  3. Step 3: Cross multiply
    97,324x = 209,641 × 209,641
  4. Step 4: Simplify right side
    97,324x = 43,949,348,881
  5. Step 5: Solve for x
    x = 43,949,348,881/97,324
  6. Step 6: Final answer
    x = 451,577.71

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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.