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Finding the Third Proportional to 94,043.50 and 202,849

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Solution

The third proportional to 94,043.50 and 202,849 is: 437,539.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,043.50 : 202,849 = 202,849 : x
  2. Step 2: Convert to fraction form
    94,043.50/202,849 = 202,849/x
  3. Step 3: Cross multiply
    94,043.50x = 202,849 × 202,849
  4. Step 4: Simplify right side
    94,043.50x = 41,147,716,801
  5. Step 5: Solve for x
    x = 41,147,716,801/94,043.50
  6. Step 6: Final answer
    x = 437,539.19

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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.