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Finding the Third Proportional to 45,228.38 and 105,087.38

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Solution

The third proportional to 45,228.38 and 105,087.38 is: 244,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,228.38 : 105,087.38 = 105,087.38 : x
  2. Step 2: Convert to fraction form
    45,228.38/105,087.38 = 105,087.38/x
  3. Step 3: Cross multiply
    45,228.38x = 105,087.38 × 105,087.38
  4. Step 4: Simplify right side
    45,228.38x = 11,043,356,384.39
  5. Step 5: Solve for x
    x = 11,043,356,384.39/45,228.38
  6. Step 6: Final answer
    x = 244,168.76

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.