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Finding the Third Proportional to 40,204 and 88,428

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Solution

The third proportional to 40,204 and 88,428 is: 194,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,204 : 88,428 = 88,428 : x
  2. Step 2: Convert to fraction form
    40,204/88,428 = 88,428/x
  3. Step 3: Cross multiply
    40,204x = 88,428 × 88,428
  4. Step 4: Simplify right side
    40,204x = 7,819,511,184
  5. Step 5: Solve for x
    x = 7,819,511,184/40,204
  6. Step 6: Final answer
    x = 194,495.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.