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Finding the Third Proportional to 107,778.94 and 163,159.31

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Solution

The third proportional to 107,778.94 and 163,159.31 is: 246,995.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,778.94 : 163,159.31 = 163,159.31 : x
  2. Step 2: Convert to fraction form
    107,778.94/163,159.31 = 163,159.31/x
  3. Step 3: Cross multiply
    107,778.94x = 163,159.31 × 163,159.31
  4. Step 4: Simplify right side
    107,778.94x = 26,620,961,255.47
  5. Step 5: Solve for x
    x = 26,620,961,255.47/107,778.94
  6. Step 6: Final answer
    x = 246,995.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.