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Finding the Third Proportional to 45,866.25 and 101,044.34

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Solution

The third proportional to 45,866.25 and 101,044.34 is: 222,602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,866.25 : 101,044.34 = 101,044.34 : x
  2. Step 2: Convert to fraction form
    45,866.25/101,044.34 = 101,044.34/x
  3. Step 3: Cross multiply
    45,866.25x = 101,044.34 × 101,044.34
  4. Step 4: Simplify right side
    45,866.25x = 10,209,957,825.05
  5. Step 5: Solve for x
    x = 10,209,957,825.05/45,866.25
  6. Step 6: Final answer
    x = 222,602.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.