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Finding the Third Proportional to 100,384.50 and 147,225

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Solution

The third proportional to 100,384.50 and 147,225 is: 215,921.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,384.50 : 147,225 = 147,225 : x
  2. Step 2: Convert to fraction form
    100,384.50/147,225 = 147,225/x
  3. Step 3: Cross multiply
    100,384.50x = 147,225 × 147,225
  4. Step 4: Simplify right side
    100,384.50x = 21,675,200,625
  5. Step 5: Solve for x
    x = 21,675,200,625/100,384.50
  6. Step 6: Final answer
    x = 215,921.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.