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Finding the Third Proportional to 97,547 and 209,647

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Solution

The third proportional to 97,547 and 209,647 is: 450,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,547 : 209,647 = 209,647 : x
  2. Step 2: Convert to fraction form
    97,547/209,647 = 209,647/x
  3. Step 3: Cross multiply
    97,547x = 209,647 × 209,647
  4. Step 4: Simplify right side
    97,547x = 43,951,864,609
  5. Step 5: Solve for x
    x = 43,951,864,609/97,547
  6. Step 6: Final answer
    x = 450,571.16

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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.