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Finding the Third Proportional to 86,006.38 and 194,310.88

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Solution

The third proportional to 86,006.38 and 194,310.88 is: 438,999.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,006.38 : 194,310.88 = 194,310.88 : x
  2. Step 2: Convert to fraction form
    86,006.38/194,310.88 = 194,310.88/x
  3. Step 3: Cross multiply
    86,006.38x = 194,310.88 × 194,310.88
  4. Step 4: Simplify right side
    86,006.38x = 37,756,716,143.27
  5. Step 5: Solve for x
    x = 37,756,716,143.27/86,006.38
  6. Step 6: Final answer
    x = 438,999.04

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.