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Finding the Third Proportional to 77,743.97 and 163,321.31

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Solution

The third proportional to 77,743.97 and 163,321.31 is: 343,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,743.97 : 163,321.31 = 163,321.31 : x
  2. Step 2: Convert to fraction form
    77,743.97/163,321.31 = 163,321.31/x
  3. Step 3: Cross multiply
    77,743.97x = 163,321.31 × 163,321.31
  4. Step 4: Simplify right side
    77,743.97x = 26,673,851,116.72
  5. Step 5: Solve for x
    x = 26,673,851,116.72/77,743.97
  6. Step 6: Final answer
    x = 343,098.66

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