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Finding the Third Proportional to 94,860 and 219,613

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Solution

The third proportional to 94,860 and 219,613 is: 508,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,860 : 219,613 = 219,613 : x
  2. Step 2: Convert to fraction form
    94,860/219,613 = 219,613/x
  3. Step 3: Cross multiply
    94,860x = 219,613 × 219,613
  4. Step 4: Simplify right side
    94,860x = 48,229,869,769
  5. Step 5: Solve for x
    x = 48,229,869,769/94,860
  6. Step 6: Final answer
    x = 508,432.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.