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Finding the Third Proportional to 50,468.06 and 108,178.03

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Solution

The third proportional to 50,468.06 and 108,178.03 is: 231,879.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,468.06 : 108,178.03 = 108,178.03 : x
  2. Step 2: Convert to fraction form
    50,468.06/108,178.03 = 108,178.03/x
  3. Step 3: Cross multiply
    50,468.06x = 108,178.03 × 108,178.03
  4. Step 4: Simplify right side
    50,468.06x = 11,702,486,445.13
  5. Step 5: Solve for x
    x = 11,702,486,445.13/50,468.06
  6. Step 6: Final answer
    x = 231,879.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.