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Finding the Third Proportional to 100,962 and 151,684.50

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Solution

The third proportional to 100,962 and 151,684.50 is: 227,889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,962 : 151,684.50 = 151,684.50 : x
  2. Step 2: Convert to fraction form
    100,962/151,684.50 = 151,684.50/x
  3. Step 3: Cross multiply
    100,962x = 151,684.50 × 151,684.50
  4. Step 4: Simplify right side
    100,962x = 23,008,187,540.25
  5. Step 5: Solve for x
    x = 23,008,187,540.25/100,962
  6. Step 6: Final answer
    x = 227,889.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.