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Finding the Third Proportional to 50,450.63 and 107,051.63

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Solution

The third proportional to 50,450.63 and 107,051.63 is: 227,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,450.63 : 107,051.63 = 107,051.63 : x
  2. Step 2: Convert to fraction form
    50,450.63/107,051.63 = 107,051.63/x
  3. Step 3: Cross multiply
    50,450.63x = 107,051.63 × 107,051.63
  4. Step 4: Simplify right side
    50,450.63x = 11,460,050,415.14
  5. Step 5: Solve for x
    x = 11,460,050,415.14/50,450.63
  6. Step 6: Final answer
    x = 227,153.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.