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Finding the Third Proportional to 43,763.63 and 96,005.25

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Solution

The third proportional to 43,763.63 and 96,005.25 is: 210,608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,763.63 : 96,005.25 = 96,005.25 : x
  2. Step 2: Convert to fraction form
    43,763.63/96,005.25 = 96,005.25/x
  3. Step 3: Cross multiply
    43,763.63x = 96,005.25 × 96,005.25
  4. Step 4: Simplify right side
    43,763.63x = 9,217,008,027.56
  5. Step 5: Solve for x
    x = 9,217,008,027.56/43,763.63
  6. Step 6: Final answer
    x = 210,608.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.