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Finding the Third Proportional to 97,228.88 and 145,845

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Solution

The third proportional to 97,228.88 and 145,845 is: 218,770.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,228.88 : 145,845 = 145,845 : x
  2. Step 2: Convert to fraction form
    97,228.88/145,845 = 145,845/x
  3. Step 3: Cross multiply
    97,228.88x = 145,845 × 145,845
  4. Step 4: Simplify right side
    97,228.88x = 21,270,764,025
  5. Step 5: Solve for x
    x = 21,270,764,025/97,228.88
  6. Step 6: Final answer
    x = 218,770.03

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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.