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Finding the Third Proportional to 101,418.33 and 146,893.50

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Solution

The third proportional to 101,418.33 and 146,893.50 is: 212,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,418.33 : 146,893.50 = 146,893.50 : x
  2. Step 2: Convert to fraction form
    101,418.33/146,893.50 = 146,893.50/x
  3. Step 3: Cross multiply
    101,418.33x = 146,893.50 × 146,893.50
  4. Step 4: Simplify right side
    101,418.33x = 21,577,700,342.25
  5. Step 5: Solve for x
    x = 21,577,700,342.25/101,418.33
  6. Step 6: Final answer
    x = 212,759.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.