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Finding the Third Proportional to 101,958 and 211,084

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Solution

The third proportional to 101,958 and 211,084 is: 437,007.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,958 : 211,084 = 211,084 : x
  2. Step 2: Convert to fraction form
    101,958/211,084 = 211,084/x
  3. Step 3: Cross multiply
    101,958x = 211,084 × 211,084
  4. Step 4: Simplify right side
    101,958x = 44,556,455,056
  5. Step 5: Solve for x
    x = 44,556,455,056/101,958
  6. Step 6: Final answer
    x = 437,007.94

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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.