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Finding the Third Proportional to 96,230.25 and 138,615.75

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Solution

The third proportional to 96,230.25 and 138,615.75 is: 199,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,230.25 : 138,615.75 = 138,615.75 : x
  2. Step 2: Convert to fraction form
    96,230.25/138,615.75 = 138,615.75/x
  3. Step 3: Cross multiply
    96,230.25x = 138,615.75 × 138,615.75
  4. Step 4: Simplify right side
    96,230.25x = 19,214,326,148.06
  5. Step 5: Solve for x
    x = 19,214,326,148.06/96,230.25
  6. Step 6: Final answer
    x = 199,670.33

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.