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Finding the Third Proportional to 46,213.50 and 94,612.31

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Solution

The third proportional to 46,213.50 and 94,612.31 is: 193,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,213.50 : 94,612.31 = 94,612.31 : x
  2. Step 2: Convert to fraction form
    46,213.50/94,612.31 = 94,612.31/x
  3. Step 3: Cross multiply
    46,213.50x = 94,612.31 × 94,612.31
  4. Step 4: Simplify right side
    46,213.50x = 8,951,489,676.60
  5. Step 5: Solve for x
    x = 8,951,489,676.60/46,213.50
  6. Step 6: Final answer
    x = 193,698.59

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.