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Finding the Third Proportional to 49,397.25 and 106,297.13

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Solution

The third proportional to 49,397.25 and 106,297.13 is: 228,739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,397.25 : 106,297.13 = 106,297.13 : x
  2. Step 2: Convert to fraction form
    49,397.25/106,297.13 = 106,297.13/x
  3. Step 3: Cross multiply
    49,397.25x = 106,297.13 × 106,297.13
  4. Step 4: Simplify right side
    49,397.25x = 11,299,078,783.27
  5. Step 5: Solve for x
    x = 11,299,078,783.27/49,397.25
  6. Step 6: Final answer
    x = 228,739.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.