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Finding the Third Proportional to 46,956.38 and 96,072.75

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Solution

The third proportional to 46,956.38 and 96,072.75 is: 196,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,956.38 : 96,072.75 = 96,072.75 : x
  2. Step 2: Convert to fraction form
    46,956.38/96,072.75 = 96,072.75/x
  3. Step 3: Cross multiply
    46,956.38x = 96,072.75 × 96,072.75
  4. Step 4: Simplify right side
    46,956.38x = 9,229,973,292.56
  5. Step 5: Solve for x
    x = 9,229,973,292.56/46,956.38
  6. Step 6: Final answer
    x = 196,564.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.