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Finding the Third Proportional to 99,214 and 234,165

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Solution

The third proportional to 99,214 and 234,165 is: 552,676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,214 : 234,165 = 234,165 : x
  2. Step 2: Convert to fraction form
    99,214/234,165 = 234,165/x
  3. Step 3: Cross multiply
    99,214x = 234,165 × 234,165
  4. Step 4: Simplify right side
    99,214x = 54,833,247,225
  5. Step 5: Solve for x
    x = 54,833,247,225/99,214
  6. Step 6: Final answer
    x = 552,676.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.