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Finding the Third Proportional to 91,525.50 and 188,698.50

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Solution

The third proportional to 91,525.50 and 188,698.50 is: 389,040.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,525.50 : 188,698.50 = 188,698.50 : x
  2. Step 2: Convert to fraction form
    91,525.50/188,698.50 = 188,698.50/x
  3. Step 3: Cross multiply
    91,525.50x = 188,698.50 × 188,698.50
  4. Step 4: Simplify right side
    91,525.50x = 35,607,123,902.25
  5. Step 5: Solve for x
    x = 35,607,123,902.25/91,525.50
  6. Step 6: Final answer
    x = 389,040.47

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.