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Finding the Third Proportional to 44,874 and 91,219.50

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Solution

The third proportional to 44,874 and 91,219.50 is: 185,430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,874 : 91,219.50 = 91,219.50 : x
  2. Step 2: Convert to fraction form
    44,874/91,219.50 = 91,219.50/x
  3. Step 3: Cross multiply
    44,874x = 91,219.50 × 91,219.50
  4. Step 4: Simplify right side
    44,874x = 8,320,997,180.25
  5. Step 5: Solve for x
    x = 8,320,997,180.25/44,874
  6. Step 6: Final answer
    x = 185,430.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.