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Finding the Third Proportional to 106,910 and 229,613

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Solution

The third proportional to 106,910 and 229,613 is: 493,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,910 : 229,613 = 229,613 : x
  2. Step 2: Convert to fraction form
    106,910/229,613 = 229,613/x
  3. Step 3: Cross multiply
    106,910x = 229,613 × 229,613
  4. Step 4: Simplify right side
    106,910x = 52,722,129,769
  5. Step 5: Solve for x
    x = 52,722,129,769/106,910
  6. Step 6: Final answer
    x = 493,144.98

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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.