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Finding the Third Proportional to 46,792 and 100,016

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Solution

The third proportional to 46,792 and 100,016 is: 213,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,792 : 100,016 = 100,016 : x
  2. Step 2: Convert to fraction form
    46,792/100,016 = 100,016/x
  3. Step 3: Cross multiply
    46,792x = 100,016 × 100,016
  4. Step 4: Simplify right side
    46,792x = 10,003,200,256
  5. Step 5: Solve for x
    x = 10,003,200,256/46,792
  6. Step 6: Final answer
    x = 213,780.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.