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Finding the Third Proportional to 45,312.75 and 92,991.38

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Solution

The third proportional to 45,312.75 and 92,991.38 is: 190,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312.75 : 92,991.38 = 92,991.38 : x
  2. Step 2: Convert to fraction form
    45,312.75/92,991.38 = 92,991.38/x
  3. Step 3: Cross multiply
    45,312.75x = 92,991.38 × 92,991.38
  4. Step 4: Simplify right side
    45,312.75x = 8,647,395,824.39
  5. Step 5: Solve for x
    x = 8,647,395,824.39/45,312.75
  6. Step 6: Final answer
    x = 190,838.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.