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Finding the Third Proportional to 97,488 and 202,636

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Solution

The third proportional to 97,488 and 202,636 is: 421,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,488 : 202,636 = 202,636 : x
  2. Step 2: Convert to fraction form
    97,488/202,636 = 202,636/x
  3. Step 3: Cross multiply
    97,488x = 202,636 × 202,636
  4. Step 4: Simplify right side
    97,488x = 41,061,348,496
  5. Step 5: Solve for x
    x = 41,061,348,496/97,488
  6. Step 6: Final answer
    x = 421,193.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.