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Finding the Third Proportional to 55,198.97 and 119,140.88

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Solution

The third proportional to 55,198.97 and 119,140.88 is: 257,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,198.97 : 119,140.88 = 119,140.88 : x
  2. Step 2: Convert to fraction form
    55,198.97/119,140.88 = 119,140.88/x
  3. Step 3: Cross multiply
    55,198.97x = 119,140.88 × 119,140.88
  4. Step 4: Simplify right side
    55,198.97x = 14,194,548,095.77
  5. Step 5: Solve for x
    x = 14,194,548,095.77/55,198.97
  6. Step 6: Final answer
    x = 257,152.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.