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Finding the Third Proportional to 97,809.75 and 208,538.44

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Solution

The third proportional to 97,809.75 and 208,538.44 is: 444,621.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,809.75 : 208,538.44 = 208,538.44 : x
  2. Step 2: Convert to fraction form
    97,809.75/208,538.44 = 208,538.44/x
  3. Step 3: Cross multiply
    97,809.75x = 208,538.44 × 208,538.44
  4. Step 4: Simplify right side
    97,809.75x = 43,488,279,914.94
  5. Step 5: Solve for x
    x = 43,488,279,914.94/97,809.75
  6. Step 6: Final answer
    x = 444,621.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.