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Finding the Third Proportional to 94,446 and 204,115.50

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Solution

The third proportional to 94,446 and 204,115.50 is: 441,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,446 : 204,115.50 = 204,115.50 : x
  2. Step 2: Convert to fraction form
    94,446/204,115.50 = 204,115.50/x
  3. Step 3: Cross multiply
    94,446x = 204,115.50 × 204,115.50
  4. Step 4: Simplify right side
    94,446x = 41,663,137,340.25
  5. Step 5: Solve for x
    x = 41,663,137,340.25/94,446
  6. Step 6: Final answer
    x = 441,131.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.