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Finding the Third Proportional to 45,044.44 and 104,266.41

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Solution

The third proportional to 45,044.44 and 104,266.41 is: 241,350.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,044.44 : 104,266.41 = 104,266.41 : x
  2. Step 2: Convert to fraction form
    45,044.44/104,266.41 = 104,266.41/x
  3. Step 3: Cross multiply
    45,044.44x = 104,266.41 × 104,266.41
  4. Step 4: Simplify right side
    45,044.44x = 10,871,483,472.29
  5. Step 5: Solve for x
    x = 10,871,483,472.29/45,044.44
  6. Step 6: Final answer
    x = 241,350.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.