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Finding the Third Proportional to 108,709.88 and 244,138.50

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Solution

The third proportional to 108,709.88 and 244,138.50 is: 548,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,709.88 : 244,138.50 = 244,138.50 : x
  2. Step 2: Convert to fraction form
    108,709.88/244,138.50 = 244,138.50/x
  3. Step 3: Cross multiply
    108,709.88x = 244,138.50 × 244,138.50
  4. Step 4: Simplify right side
    108,709.88x = 59,603,607,182.25
  5. Step 5: Solve for x
    x = 59,603,607,182.25/108,709.88
  6. Step 6: Final answer
    x = 548,281.44

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.