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Finding the Third Proportional to 94,451.06 and 194,440.50

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Solution

The third proportional to 94,451.06 and 194,440.50 is: 400,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,451.06 : 194,440.50 = 194,440.50 : x
  2. Step 2: Convert to fraction form
    94,451.06/194,440.50 = 194,440.50/x
  3. Step 3: Cross multiply
    94,451.06x = 194,440.50 × 194,440.50
  4. Step 4: Simplify right side
    94,451.06x = 37,807,108,040.25
  5. Step 5: Solve for x
    x = 37,807,108,040.25/94,451.06
  6. Step 6: Final answer
    x = 400,282.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.