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Finding the Third Proportional to 94,423.50 and 203,928

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Solution

The third proportional to 94,423.50 and 203,928 is: 440,426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,423.50 : 203,928 = 203,928 : x
  2. Step 2: Convert to fraction form
    94,423.50/203,928 = 203,928/x
  3. Step 3: Cross multiply
    94,423.50x = 203,928 × 203,928
  4. Step 4: Simplify right side
    94,423.50x = 41,586,629,184
  5. Step 5: Solve for x
    x = 41,586,629,184/94,423.50
  6. Step 6: Final answer
    x = 440,426.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.