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Finding the Third Proportional to 90,246 and 194,789

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Solution

The third proportional to 90,246 and 194,789 is: 420,436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,246 : 194,789 = 194,789 : x
  2. Step 2: Convert to fraction form
    90,246/194,789 = 194,789/x
  3. Step 3: Cross multiply
    90,246x = 194,789 × 194,789
  4. Step 4: Simplify right side
    90,246x = 37,942,754,521
  5. Step 5: Solve for x
    x = 37,942,754,521/90,246
  6. Step 6: Final answer
    x = 420,436.97

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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.