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Finding the Third Proportional to 49,938.47 and 107,288.44

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Solution

The third proportional to 49,938.47 and 107,288.44 is: 230,499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,938.47 : 107,288.44 = 107,288.44 : x
  2. Step 2: Convert to fraction form
    49,938.47/107,288.44 = 107,288.44/x
  3. Step 3: Cross multiply
    49,938.47x = 107,288.44 × 107,288.44
  4. Step 4: Simplify right side
    49,938.47x = 11,510,808,821.19
  5. Step 5: Solve for x
    x = 11,510,808,821.19/49,938.47
  6. Step 6: Final answer
    x = 230,499.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.