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Finding the Third Proportional to 101,254 and 218,084

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Solution

The third proportional to 101,254 and 218,084 is: 469,716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,254 : 218,084 = 218,084 : x
  2. Step 2: Convert to fraction form
    101,254/218,084 = 218,084/x
  3. Step 3: Cross multiply
    101,254x = 218,084 × 218,084
  4. Step 4: Simplify right side
    101,254x = 47,560,631,056
  5. Step 5: Solve for x
    x = 47,560,631,056/101,254
  6. Step 6: Final answer
    x = 469,716.07

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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.