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Finding the Third Proportional to 90,944 and 212,416

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Solution

The third proportional to 90,944 and 212,416 is: 496,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,944 : 212,416 = 212,416 : x
  2. Step 2: Convert to fraction form
    90,944/212,416 = 212,416/x
  3. Step 3: Cross multiply
    90,944x = 212,416 × 212,416
  4. Step 4: Simplify right side
    90,944x = 45,120,557,056
  5. Step 5: Solve for x
    x = 45,120,557,056/90,944
  6. Step 6: Final answer
    x = 496,135.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.