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Finding the Third Proportional to 84,893.06 and 155,433.94

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Solution

The third proportional to 84,893.06 and 155,433.94 is: 284,589.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,893.06 : 155,433.94 = 155,433.94 : x
  2. Step 2: Convert to fraction form
    84,893.06/155,433.94 = 155,433.94/x
  3. Step 3: Cross multiply
    84,893.06x = 155,433.94 × 155,433.94
  4. Step 4: Simplify right side
    84,893.06x = 24,159,708,926.75
  5. Step 5: Solve for x
    x = 24,159,708,926.75/84,893.06
  6. Step 6: Final answer
    x = 284,589.91

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.