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Finding the Third Proportional to 92,475.84 and 198,984.94

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Solution

The third proportional to 92,475.84 and 198,984.94 is: 428,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,475.84 : 198,984.94 = 198,984.94 : x
  2. Step 2: Convert to fraction form
    92,475.84/198,984.94 = 198,984.94/x
  3. Step 3: Cross multiply
    92,475.84x = 198,984.94 × 198,984.94
  4. Step 4: Simplify right side
    92,475.84x = 39,595,005,351.88
  5. Step 5: Solve for x
    x = 39,595,005,351.88/92,475.84
  6. Step 6: Final answer
    x = 428,165.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.