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Finding the Third Proportional to 101,914 and 208,364

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Solution

The third proportional to 101,914 and 208,364 is: 426,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,914 : 208,364 = 208,364 : x
  2. Step 2: Convert to fraction form
    101,914/208,364 = 208,364/x
  3. Step 3: Cross multiply
    101,914x = 208,364 × 208,364
  4. Step 4: Simplify right side
    101,914x = 43,415,556,496
  5. Step 5: Solve for x
    x = 43,415,556,496/101,914
  6. Step 6: Final answer
    x = 426,001.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.