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Finding the Third Proportional to 95,039.50 and 220,991.50

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Solution

The third proportional to 95,039.50 and 220,991.50 is: 513,862.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,039.50 : 220,991.50 = 220,991.50 : x
  2. Step 2: Convert to fraction form
    95,039.50/220,991.50 = 220,991.50/x
  3. Step 3: Cross multiply
    95,039.50x = 220,991.50 × 220,991.50
  4. Step 4: Simplify right side
    95,039.50x = 48,837,243,072.25
  5. Step 5: Solve for x
    x = 48,837,243,072.25/95,039.50
  6. Step 6: Final answer
    x = 513,862.58

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.