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Finding the Third Proportional to 99,503.44 and 208,230.75

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Solution

The third proportional to 99,503.44 and 208,230.75 is: 435,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,503.44 : 208,230.75 = 208,230.75 : x
  2. Step 2: Convert to fraction form
    99,503.44/208,230.75 = 208,230.75/x
  3. Step 3: Cross multiply
    99,503.44x = 208,230.75 × 208,230.75
  4. Step 4: Simplify right side
    99,503.44x = 43,360,045,245.56
  5. Step 5: Solve for x
    x = 43,360,045,245.56/99,503.44
  6. Step 6: Final answer
    x = 435,764.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.