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Finding the Third Proportional to 46,716 and 100,848

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Solution

The third proportional to 46,716 and 100,848 is: 217,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,716 : 100,848 = 100,848 : x
  2. Step 2: Convert to fraction form
    46,716/100,848 = 100,848/x
  3. Step 3: Cross multiply
    46,716x = 100,848 × 100,848
  4. Step 4: Simplify right side
    46,716x = 10,170,319,104
  5. Step 5: Solve for x
    x = 10,170,319,104/46,716
  6. Step 6: Final answer
    x = 217,705.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.