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Finding the Third Proportional to 96,735.94 and 200,307.94

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Solution

The third proportional to 96,735.94 and 200,307.94 is: 414,771.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,735.94 : 200,307.94 = 200,307.94 : x
  2. Step 2: Convert to fraction form
    96,735.94/200,307.94 = 200,307.94/x
  3. Step 3: Cross multiply
    96,735.94x = 200,307.94 × 200,307.94
  4. Step 4: Simplify right side
    96,735.94x = 40,123,269,825.50
  5. Step 5: Solve for x
    x = 40,123,269,825.50/96,735.94
  6. Step 6: Final answer
    x = 414,771.09

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.