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Finding the Third Proportional to 97,544 and 209,641

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Solution

The third proportional to 97,544 and 209,641 is: 450,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,544 : 209,641 = 209,641 : x
  2. Step 2: Convert to fraction form
    97,544/209,641 = 209,641/x
  3. Step 3: Cross multiply
    97,544x = 209,641 × 209,641
  4. Step 4: Simplify right side
    97,544x = 43,949,348,881
  5. Step 5: Solve for x
    x = 43,949,348,881/97,544
  6. Step 6: Final answer
    x = 450,559.22

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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.