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Finding the Third Proportional to 89,214 and 198,108

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Solution

The third proportional to 89,214 and 198,108 is: 439,917.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,214 : 198,108 = 198,108 : x
  2. Step 2: Convert to fraction form
    89,214/198,108 = 198,108/x
  3. Step 3: Cross multiply
    89,214x = 198,108 × 198,108
  4. Step 4: Simplify right side
    89,214x = 39,246,779,664
  5. Step 5: Solve for x
    x = 39,246,779,664/89,214
  6. Step 6: Final answer
    x = 439,917.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.