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Finding the Third Proportional to 50,421.94 and 107,467.88

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Solution

The third proportional to 50,421.94 and 107,467.88 is: 229,053.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,421.94 : 107,467.88 = 107,467.88 : x
  2. Step 2: Convert to fraction form
    50,421.94/107,467.88 = 107,467.88/x
  3. Step 3: Cross multiply
    50,421.94x = 107,467.88 × 107,467.88
  4. Step 4: Simplify right side
    50,421.94x = 11,549,344,157.02
  5. Step 5: Solve for x
    x = 11,549,344,157.02/50,421.94
  6. Step 6: Final answer
    x = 229,053.95

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