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Finding the Third Proportional to 101,094 and 218,955

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Solution

The third proportional to 101,094 and 218,955 is: 474,224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,094 : 218,955 = 218,955 : x
  2. Step 2: Convert to fraction form
    101,094/218,955 = 218,955/x
  3. Step 3: Cross multiply
    101,094x = 218,955 × 218,955
  4. Step 4: Simplify right side
    101,094x = 47,941,292,025
  5. Step 5: Solve for x
    x = 47,941,292,025/101,094
  6. Step 6: Final answer
    x = 474,224.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.