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Finding the Third Proportional to 101,777 and 217,080

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Solution

The third proportional to 101,777 and 217,080 is: 463,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,777 : 217,080 = 217,080 : x
  2. Step 2: Convert to fraction form
    101,777/217,080 = 217,080/x
  3. Step 3: Cross multiply
    101,777x = 217,080 × 217,080
  4. Step 4: Simplify right side
    101,777x = 47,123,726,400
  5. Step 5: Solve for x
    x = 47,123,726,400/101,777
  6. Step 6: Final answer
    x = 463,009.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.