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Finding the Third Proportional to 44,509.50 and 105,069.66

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Solution

The third proportional to 44,509.50 and 105,069.66 is: 248,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,509.50 : 105,069.66 = 105,069.66 : x
  2. Step 2: Convert to fraction form
    44,509.50/105,069.66 = 105,069.66/x
  3. Step 3: Cross multiply
    44,509.50x = 105,069.66 × 105,069.66
  4. Step 4: Simplify right side
    44,509.50x = 11,039,632,664.49
  5. Step 5: Solve for x
    x = 11,039,632,664.49/44,509.50
  6. Step 6: Final answer
    x = 248,028.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.