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Finding the Third Proportional to 50,878.76 and 108,518.48

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Solution

The third proportional to 50,878.76 and 108,518.48 is: 231,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,878.76 : 108,518.48 = 108,518.48 : x
  2. Step 2: Convert to fraction form
    50,878.76/108,518.48 = 108,518.48/x
  3. Step 3: Cross multiply
    50,878.76x = 108,518.48 × 108,518.48
  4. Step 4: Simplify right side
    50,878.76x = 11,776,261,451.05
  5. Step 5: Solve for x
    x = 11,776,261,451.05/50,878.76
  6. Step 6: Final answer
    x = 231,457.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.