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Finding the Third Proportional to 95,744.50 and 201,938

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Solution

The third proportional to 95,744.50 and 201,938 is: 425,914.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,744.50 : 201,938 = 201,938 : x
  2. Step 2: Convert to fraction form
    95,744.50/201,938 = 201,938/x
  3. Step 3: Cross multiply
    95,744.50x = 201,938 × 201,938
  4. Step 4: Simplify right side
    95,744.50x = 40,778,955,844
  5. Step 5: Solve for x
    x = 40,778,955,844/95,744.50
  6. Step 6: Final answer
    x = 425,914.34

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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.