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Finding the Third Proportional to 206,026.88 and 427,845.38

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Solution

The third proportional to 206,026.88 and 427,845.38 is: 888,484.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,026.88 : 427,845.38 = 427,845.38 : x
  2. Step 2: Convert to fraction form
    206,026.88/427,845.38 = 427,845.38/x
  3. Step 3: Cross multiply
    206,026.88x = 427,845.38 × 427,845.38
  4. Step 4: Simplify right side
    206,026.88x = 183,051,664,908.89
  5. Step 5: Solve for x
    x = 183,051,664,908.89/206,026.88
  6. Step 6: Final answer
    x = 888,484.40

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.