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Finding the Third Proportional to 46,093 and 96,821

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Solution

The third proportional to 46,093 and 96,821 is: 203,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,093 : 96,821 = 96,821 : x
  2. Step 2: Convert to fraction form
    46,093/96,821 = 96,821/x
  3. Step 3: Cross multiply
    46,093x = 96,821 × 96,821
  4. Step 4: Simplify right side
    46,093x = 9,374,306,041
  5. Step 5: Solve for x
    x = 9,374,306,041/46,093
  6. Step 6: Final answer
    x = 203,378.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.