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Finding the Third Proportional to 94,788.50 and 219,439.25

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Solution

The third proportional to 94,788.50 and 219,439.25 is: 508,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,788.50 : 219,439.25 = 219,439.25 : x
  2. Step 2: Convert to fraction form
    94,788.50/219,439.25 = 219,439.25/x
  3. Step 3: Cross multiply
    94,788.50x = 219,439.25 × 219,439.25
  4. Step 4: Simplify right side
    94,788.50x = 48,153,584,440.56
  5. Step 5: Solve for x
    x = 48,153,584,440.56/94,788.50
  6. Step 6: Final answer
    x = 508,010.83

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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.