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Finding the Third Proportional to 101,775.23 and 217,076.20

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Solution

The third proportional to 101,775.23 and 217,076.20 is: 463,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,775.23 : 217,076.20 = 217,076.20 : x
  2. Step 2: Convert to fraction form
    101,775.23/217,076.20 = 217,076.20/x
  3. Step 3: Cross multiply
    101,775.23x = 217,076.20 × 217,076.20
  4. Step 4: Simplify right side
    101,775.23x = 47,122,077,963.17
  5. Step 5: Solve for x
    x = 47,122,077,963.17/101,775.23
  6. Step 6: Final answer
    x = 463,001.42

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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.