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Finding the Third Proportional to 90,446.63 and 194,653.13

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Solution

The third proportional to 90,446.63 and 194,653.13 is: 418,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,446.63 : 194,653.13 = 194,653.13 : x
  2. Step 2: Convert to fraction form
    90,446.63/194,653.13 = 194,653.13/x
  3. Step 3: Cross multiply
    90,446.63x = 194,653.13 × 194,653.13
  4. Step 4: Simplify right side
    90,446.63x = 37,889,839,072.27
  5. Step 5: Solve for x
    x = 37,889,839,072.27/90,446.63
  6. Step 6: Final answer
    x = 418,919.32

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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.