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Finding the Third Proportional to 86,006.38 and 194,311.13

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Solution

The third proportional to 86,006.38 and 194,311.13 is: 439,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,006.38 : 194,311.13 = 194,311.13 : x
  2. Step 2: Convert to fraction form
    86,006.38/194,311.13 = 194,311.13/x
  3. Step 3: Cross multiply
    86,006.38x = 194,311.13 × 194,311.13
  4. Step 4: Simplify right side
    86,006.38x = 37,756,813,298.77
  5. Step 5: Solve for x
    x = 37,756,813,298.77/86,006.38
  6. Step 6: Final answer
    x = 439,000.17

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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.