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Finding the Third Proportional to 97,084 and 205,916

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Solution

The third proportional to 97,084 and 205,916 is: 436,749.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,084 : 205,916 = 205,916 : x
  2. Step 2: Convert to fraction form
    97,084/205,916 = 205,916/x
  3. Step 3: Cross multiply
    97,084x = 205,916 × 205,916
  4. Step 4: Simplify right side
    97,084x = 42,401,399,056
  5. Step 5: Solve for x
    x = 42,401,399,056/97,084
  6. Step 6: Final answer
    x = 436,749.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.