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Finding the Third Proportional to 94,851 and 219,591

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Solution

The third proportional to 94,851 and 219,591 is: 508,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,851 : 219,591 = 219,591 : x
  2. Step 2: Convert to fraction form
    94,851/219,591 = 219,591/x
  3. Step 3: Cross multiply
    94,851x = 219,591 × 219,591
  4. Step 4: Simplify right side
    94,851x = 48,220,207,281
  5. Step 5: Solve for x
    x = 48,220,207,281/94,851
  6. Step 6: Final answer
    x = 508,378.48

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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.