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Finding the Third Proportional to 46,365.75 and 96,653.25

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Solution

The third proportional to 46,365.75 and 96,653.25 is: 201,481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,365.75 : 96,653.25 = 96,653.25 : x
  2. Step 2: Convert to fraction form
    46,365.75/96,653.25 = 96,653.25/x
  3. Step 3: Cross multiply
    46,365.75x = 96,653.25 × 96,653.25
  4. Step 4: Simplify right side
    46,365.75x = 9,341,850,735.56
  5. Step 5: Solve for x
    x = 9,341,850,735.56/46,365.75
  6. Step 6: Final answer
    x = 201,481.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.