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Finding the Third Proportional to 46,212.75 and 94,615.31

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Solution

The third proportional to 46,212.75 and 94,615.31 is: 193,714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,212.75 : 94,615.31 = 94,615.31 : x
  2. Step 2: Convert to fraction form
    46,212.75/94,615.31 = 94,615.31/x
  3. Step 3: Cross multiply
    46,212.75x = 94,615.31 × 94,615.31
  4. Step 4: Simplify right side
    46,212.75x = 8,952,057,359.47
  5. Step 5: Solve for x
    x = 8,952,057,359.47/46,212.75
  6. Step 6: Final answer
    x = 193,714.02

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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.