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Finding the Third Proportional to 94,995 and 203,958

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Solution

The third proportional to 94,995 and 203,958 is: 437,905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,995 : 203,958 = 203,958 : x
  2. Step 2: Convert to fraction form
    94,995/203,958 = 203,958/x
  3. Step 3: Cross multiply
    94,995x = 203,958 × 203,958
  4. Step 4: Simplify right side
    94,995x = 41,598,865,764
  5. Step 5: Solve for x
    x = 41,598,865,764/94,995
  6. Step 6: Final answer
    x = 437,905.85

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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.