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Finding the Third Proportional to 46,881 and 101,093

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Solution

The third proportional to 46,881 and 101,093 is: 217,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,881 : 101,093 = 101,093 : x
  2. Step 2: Convert to fraction form
    46,881/101,093 = 101,093/x
  3. Step 3: Cross multiply
    46,881x = 101,093 × 101,093
  4. Step 4: Simplify right side
    46,881x = 10,219,794,649
  5. Step 5: Solve for x
    x = 10,219,794,649/46,881
  6. Step 6: Final answer
    x = 217,994.38

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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.