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Finding the Third Proportional to 94,958 and 205,144

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Solution

The third proportional to 94,958 and 205,144 is: 443,186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,958 : 205,144 = 205,144 : x
  2. Step 2: Convert to fraction form
    94,958/205,144 = 205,144/x
  3. Step 3: Cross multiply
    94,958x = 205,144 × 205,144
  4. Step 4: Simplify right side
    94,958x = 42,084,060,736
  5. Step 5: Solve for x
    x = 42,084,060,736/94,958
  6. Step 6: Final answer
    x = 443,186.05

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