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Finding the Third Proportional to 45,331.73 and 106,631.44

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Solution

The third proportional to 45,331.73 and 106,631.44 is: 250,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,331.73 : 106,631.44 = 106,631.44 : x
  2. Step 2: Convert to fraction form
    45,331.73/106,631.44 = 106,631.44/x
  3. Step 3: Cross multiply
    45,331.73x = 106,631.44 × 106,631.44
  4. Step 4: Simplify right side
    45,331.73x = 11,370,263,463.32
  5. Step 5: Solve for x
    x = 11,370,263,463.32/45,331.73
  6. Step 6: Final answer
    x = 250,823.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.