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Finding the Third Proportional to 44,231.06 and 96,238.13

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Solution

The third proportional to 44,231.06 and 96,238.13 is: 209,395.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,231.06 : 96,238.13 = 96,238.13 : x
  2. Step 2: Convert to fraction form
    44,231.06/96,238.13 = 96,238.13/x
  3. Step 3: Cross multiply
    44,231.06x = 96,238.13 × 96,238.13
  4. Step 4: Simplify right side
    44,231.06x = 9,261,776,703.52
  5. Step 5: Solve for x
    x = 9,261,776,703.52/44,231.06
  6. Step 6: Final answer
    x = 209,395.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.