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Finding the Third Proportional to 85,890.38 and 192,891.38

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Solution

The third proportional to 85,890.38 and 192,891.38 is: 433,192.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,890.38 : 192,891.38 = 192,891.38 : x
  2. Step 2: Convert to fraction form
    85,890.38/192,891.38 = 192,891.38/x
  3. Step 3: Cross multiply
    85,890.38x = 192,891.38 × 192,891.38
  4. Step 4: Simplify right side
    85,890.38x = 37,207,082,549.39
  5. Step 5: Solve for x
    x = 37,207,082,549.39/85,890.38
  6. Step 6: Final answer
    x = 433,192.69

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.