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Finding the Third Proportional to 95,729.34 and 208,245.94

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Solution

The third proportional to 95,729.34 and 208,245.94 is: 453,010.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,729.34 : 208,245.94 = 208,245.94 : x
  2. Step 2: Convert to fraction form
    95,729.34/208,245.94 = 208,245.94/x
  3. Step 3: Cross multiply
    95,729.34x = 208,245.94 × 208,245.94
  4. Step 4: Simplify right side
    95,729.34x = 43,366,370,485.25
  5. Step 5: Solve for x
    x = 43,366,370,485.25/95,729.34
  6. Step 6: Final answer
    x = 453,010.21

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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.