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Finding the Third Proportional to 44,991 and 96,793

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Solution

The third proportional to 44,991 and 96,793 is: 208,239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,991 : 96,793 = 96,793 : x
  2. Step 2: Convert to fraction form
    44,991/96,793 = 96,793/x
  3. Step 3: Cross multiply
    44,991x = 96,793 × 96,793
  4. Step 4: Simplify right side
    44,991x = 9,368,884,849
  5. Step 5: Solve for x
    x = 9,368,884,849/44,991
  6. Step 6: Final answer
    x = 208,239.09

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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.