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Finding the Third Proportional to 97,546 and 209,646

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Solution

The third proportional to 97,546 and 209,646 is: 450,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,546 : 209,646 = 209,646 : x
  2. Step 2: Convert to fraction form
    97,546/209,646 = 209,646/x
  3. Step 3: Cross multiply
    97,546x = 209,646 × 209,646
  4. Step 4: Simplify right side
    97,546x = 43,951,445,316
  5. Step 5: Solve for x
    x = 43,951,445,316/97,546
  6. Step 6: Final answer
    x = 450,571.48

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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.