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Finding the Third Proportional to 101,046 and 212,244

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Solution

The third proportional to 101,046 and 212,244 is: 445,811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,046 : 212,244 = 212,244 : x
  2. Step 2: Convert to fraction form
    101,046/212,244 = 212,244/x
  3. Step 3: Cross multiply
    101,046x = 212,244 × 212,244
  4. Step 4: Simplify right side
    101,046x = 45,047,515,536
  5. Step 5: Solve for x
    x = 45,047,515,536/101,046
  6. Step 6: Final answer
    x = 445,811.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.