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Finding the Third Proportional to 46,147 and 100,394

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Solution

The third proportional to 46,147 and 100,394 is: 218,409.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,147 : 100,394 = 100,394 : x
  2. Step 2: Convert to fraction form
    46,147/100,394 = 100,394/x
  3. Step 3: Cross multiply
    46,147x = 100,394 × 100,394
  4. Step 4: Simplify right side
    46,147x = 10,078,955,236
  5. Step 5: Solve for x
    x = 10,078,955,236/46,147
  6. Step 6: Final answer
    x = 218,409.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.