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Finding the Third Proportional to 49,198.63 and 101,897.88

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Solution

The third proportional to 49,198.63 and 101,897.88 is: 211,046.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,198.63 : 101,897.88 = 101,897.88 : x
  2. Step 2: Convert to fraction form
    49,198.63/101,897.88 = 101,897.88/x
  3. Step 3: Cross multiply
    49,198.63x = 101,897.88 × 101,897.88
  4. Step 4: Simplify right side
    49,198.63x = 10,383,176,929.52
  5. Step 5: Solve for x
    x = 10,383,176,929.52/49,198.63
  6. Step 6: Final answer
    x = 211,046.08

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.