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Finding the Third Proportional to 98,856 and 213,150

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Solution

The third proportional to 98,856 and 213,150 is: 459,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,856 : 213,150 = 213,150 : x
  2. Step 2: Convert to fraction form
    98,856/213,150 = 213,150/x
  3. Step 3: Cross multiply
    98,856x = 213,150 × 213,150
  4. Step 4: Simplify right side
    98,856x = 45,432,922,500
  5. Step 5: Solve for x
    x = 45,432,922,500/98,856
  6. Step 6: Final answer
    x = 459,586.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.