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Finding the Third Proportional to 47,054.67 and 103,438.27

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Solution

The third proportional to 47,054.67 and 103,438.27 is: 227,383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,054.67 : 103,438.27 = 103,438.27 : x
  2. Step 2: Convert to fraction form
    47,054.67/103,438.27 = 103,438.27/x
  3. Step 3: Cross multiply
    47,054.67x = 103,438.27 × 103,438.27
  4. Step 4: Simplify right side
    47,054.67x = 10,699,474,795.51
  5. Step 5: Solve for x
    x = 10,699,474,795.51/47,054.67
  6. Step 6: Final answer
    x = 227,383.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.