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Finding the Third Proportional to 90,112 and 194,944

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Solution

The third proportional to 90,112 and 194,944 is: 421,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,112 : 194,944 = 194,944 : x
  2. Step 2: Convert to fraction form
    90,112/194,944 = 194,944/x
  3. Step 3: Cross multiply
    90,112x = 194,944 × 194,944
  4. Step 4: Simplify right side
    90,112x = 38,003,163,136
  5. Step 5: Solve for x
    x = 38,003,163,136/90,112
  6. Step 6: Final answer
    x = 421,732.55

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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.