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Finding the Third Proportional to 46,151 and 100,308

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Solution

The third proportional to 46,151 and 100,308 is: 218,016.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,151 : 100,308 = 100,308 : x
  2. Step 2: Convert to fraction form
    46,151/100,308 = 100,308/x
  3. Step 3: Cross multiply
    46,151x = 100,308 × 100,308
  4. Step 4: Simplify right side
    46,151x = 10,061,694,864
  5. Step 5: Solve for x
    x = 10,061,694,864/46,151
  6. Step 6: Final answer
    x = 218,016.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.