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Finding the Third Proportional to 100,588.50 and 151,908

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Solution

The third proportional to 100,588.50 and 151,908 is: 229,410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,588.50 : 151,908 = 151,908 : x
  2. Step 2: Convert to fraction form
    100,588.50/151,908 = 151,908/x
  3. Step 3: Cross multiply
    100,588.50x = 151,908 × 151,908
  4. Step 4: Simplify right side
    100,588.50x = 23,076,040,464
  5. Step 5: Solve for x
    x = 23,076,040,464/100,588.50
  6. Step 6: Final answer
    x = 229,410.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.