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Finding the Third Proportional to 123,233.63 and 198,404.44

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Solution

The third proportional to 123,233.63 and 198,404.44 is: 319,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,233.63 : 198,404.44 = 198,404.44 : x
  2. Step 2: Convert to fraction form
    123,233.63/198,404.44 = 198,404.44/x
  3. Step 3: Cross multiply
    123,233.63x = 198,404.44 × 198,404.44
  4. Step 4: Simplify right side
    123,233.63x = 39,364,320,819.69
  5. Step 5: Solve for x
    x = 39,364,320,819.69/123,233.63
  6. Step 6: Final answer
    x = 319,428.41

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.