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Finding the Third Proportional to 49,881.45 and 110,834.58

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Solution

The third proportional to 49,881.45 and 110,834.58 is: 246,270.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,881.45 : 110,834.58 = 110,834.58 : x
  2. Step 2: Convert to fraction form
    49,881.45/110,834.58 = 110,834.58/x
  3. Step 3: Cross multiply
    49,881.45x = 110,834.58 × 110,834.58
  4. Step 4: Simplify right side
    49,881.45x = 12,284,303,708.15
  5. Step 5: Solve for x
    x = 12,284,303,708.15/49,881.45
  6. Step 6: Final answer
    x = 246,270.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.