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Finding the Third Proportional to 94,802 and 203,938

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Solution

The third proportional to 94,802 and 203,938 is: 438,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,802 : 203,938 = 203,938 : x
  2. Step 2: Convert to fraction form
    94,802/203,938 = 203,938/x
  3. Step 3: Cross multiply
    94,802x = 203,938 × 203,938
  4. Step 4: Simplify right side
    94,802x = 41,590,707,844
  5. Step 5: Solve for x
    x = 41,590,707,844/94,802
  6. Step 6: Final answer
    x = 438,711.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.