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Finding the Third Proportional to 99,633.80 and 107,835.05

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Solution

The third proportional to 99,633.80 and 107,835.05 is: 116,711.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,633.80 : 107,835.05 = 107,835.05 : x
  2. Step 2: Convert to fraction form
    99,633.80/107,835.05 = 107,835.05/x
  3. Step 3: Cross multiply
    99,633.80x = 107,835.05 × 107,835.05
  4. Step 4: Simplify right side
    99,633.80x = 11,628,397,334.53
  5. Step 5: Solve for x
    x = 11,628,397,334.53/99,633.80
  6. Step 6: Final answer
    x = 116,711.37

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.