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Finding the Third Proportional to 90,936.50 and 214,361.50

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Solution

The third proportional to 90,936.50 and 214,361.50 is: 505,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,936.50 : 214,361.50 = 214,361.50 : x
  2. Step 2: Convert to fraction form
    90,936.50/214,361.50 = 214,361.50/x
  3. Step 3: Cross multiply
    90,936.50x = 214,361.50 × 214,361.50
  4. Step 4: Simplify right side
    90,936.50x = 45,950,852,682.25
  5. Step 5: Solve for x
    x = 45,950,852,682.25/90,936.50
  6. Step 6: Final answer
    x = 505,307.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.