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Finding the Third Proportional to 95,893.50 and 201,898.50

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Solution

The third proportional to 95,893.50 and 201,898.50 is: 425,086.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,893.50 : 201,898.50 = 201,898.50 : x
  2. Step 2: Convert to fraction form
    95,893.50/201,898.50 = 201,898.50/x
  3. Step 3: Cross multiply
    95,893.50x = 201,898.50 × 201,898.50
  4. Step 4: Simplify right side
    95,893.50x = 40,763,004,302.25
  5. Step 5: Solve for x
    x = 40,763,004,302.25/95,893.50
  6. Step 6: Final answer
    x = 425,086.21

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.