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Finding the Third Proportional to 44,005 and 103,847.50

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Solution

The third proportional to 44,005 and 103,847.50 is: 245,069.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,005 : 103,847.50 = 103,847.50 : x
  2. Step 2: Convert to fraction form
    44,005/103,847.50 = 103,847.50/x
  3. Step 3: Cross multiply
    44,005x = 103,847.50 × 103,847.50
  4. Step 4: Simplify right side
    44,005x = 10,784,303,256.25
  5. Step 5: Solve for x
    x = 10,784,303,256.25/44,005
  6. Step 6: Final answer
    x = 245,069.95

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