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Finding the Third Proportional to 49,199.50 and 101,900

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Solution

The third proportional to 49,199.50 and 101,900 is: 211,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,199.50 : 101,900 = 101,900 : x
  2. Step 2: Convert to fraction form
    49,199.50/101,900 = 101,900/x
  3. Step 3: Cross multiply
    49,199.50x = 101,900 × 101,900
  4. Step 4: Simplify right side
    49,199.50x = 10,383,610,000
  5. Step 5: Solve for x
    x = 10,383,610,000/49,199.50
  6. Step 6: Final answer
    x = 211,051.13

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Why These Related Problems?

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