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Finding the Third Proportional to 89,950.50 and 193,744.13

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Solution

The third proportional to 89,950.50 and 193,744.13 is: 417,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,950.50 : 193,744.13 = 193,744.13 : x
  2. Step 2: Convert to fraction form
    89,950.50/193,744.13 = 193,744.13/x
  3. Step 3: Cross multiply
    89,950.50x = 193,744.13 × 193,744.13
  4. Step 4: Simplify right side
    89,950.50x = 37,536,785,972.02
  5. Step 5: Solve for x
    x = 37,536,785,972.02/89,950.50
  6. Step 6: Final answer
    x = 417,304.92

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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.