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Finding the Third Proportional to 101,306 and 218,192

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Solution

The third proportional to 101,306 and 218,192 is: 469,940.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,306 : 218,192 = 218,192 : x
  2. Step 2: Convert to fraction form
    101,306/218,192 = 218,192/x
  3. Step 3: Cross multiply
    101,306x = 218,192 × 218,192
  4. Step 4: Simplify right side
    101,306x = 47,607,748,864
  5. Step 5: Solve for x
    x = 47,607,748,864/101,306
  6. Step 6: Final answer
    x = 469,940.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.