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Finding the Third Proportional to 117,850.84 and 182,445.44

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Solution

The third proportional to 117,850.84 and 182,445.44 is: 282,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,850.84 : 182,445.44 = 182,445.44 : x
  2. Step 2: Convert to fraction form
    117,850.84/182,445.44 = 182,445.44/x
  3. Step 3: Cross multiply
    117,850.84x = 182,445.44 × 182,445.44
  4. Step 4: Simplify right side
    117,850.84x = 33,286,337,664.57
  5. Step 5: Solve for x
    x = 33,286,337,664.57/117,850.84
  6. Step 6: Final answer
    x = 282,444.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.