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Finding the Third Proportional to 99,846 and 214,915

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Solution

The third proportional to 99,846 and 214,915 is: 462,596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,846 : 214,915 = 214,915 : x
  2. Step 2: Convert to fraction form
    99,846/214,915 = 214,915/x
  3. Step 3: Cross multiply
    99,846x = 214,915 × 214,915
  4. Step 4: Simplify right side
    99,846x = 46,188,457,225
  5. Step 5: Solve for x
    x = 46,188,457,225/99,846
  6. Step 6: Final answer
    x = 462,596.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.