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Finding the Third Proportional to 97,374.75 and 204,588.75

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Solution

The third proportional to 97,374.75 and 204,588.75 is: 429,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,374.75 : 204,588.75 = 204,588.75 : x
  2. Step 2: Convert to fraction form
    97,374.75/204,588.75 = 204,588.75/x
  3. Step 3: Cross multiply
    97,374.75x = 204,588.75 × 204,588.75
  4. Step 4: Simplify right side
    97,374.75x = 41,856,556,626.56
  5. Step 5: Solve for x
    x = 41,856,556,626.56/97,374.75
  6. Step 6: Final answer
    x = 429,850.21

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.