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Finding the Third Proportional to 92,797 and 202,322

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Solution

The third proportional to 92,797 and 202,322 is: 441,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,797 : 202,322 = 202,322 : x
  2. Step 2: Convert to fraction form
    92,797/202,322 = 202,322/x
  3. Step 3: Cross multiply
    92,797x = 202,322 × 202,322
  4. Step 4: Simplify right side
    92,797x = 40,934,191,684
  5. Step 5: Solve for x
    x = 40,934,191,684/92,797
  6. Step 6: Final answer
    x = 441,115.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.