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Finding the Third Proportional to 46,884 and 101,166

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Solution

The third proportional to 46,884 and 101,166 is: 218,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,884 : 101,166 = 101,166 : x
  2. Step 2: Convert to fraction form
    46,884/101,166 = 101,166/x
  3. Step 3: Cross multiply
    46,884x = 101,166 × 101,166
  4. Step 4: Simplify right side
    46,884x = 10,234,559,556
  5. Step 5: Solve for x
    x = 10,234,559,556/46,884
  6. Step 6: Final answer
    x = 218,295.36

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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.