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Finding the Third Proportional to 44,845.50 and 103,363.50

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Solution

The third proportional to 44,845.50 and 103,363.50 is: 238,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,845.50 : 103,363.50 = 103,363.50 : x
  2. Step 2: Convert to fraction form
    44,845.50/103,363.50 = 103,363.50/x
  3. Step 3: Cross multiply
    44,845.50x = 103,363.50 × 103,363.50
  4. Step 4: Simplify right side
    44,845.50x = 10,684,013,132.25
  5. Step 5: Solve for x
    x = 10,684,013,132.25/44,845.50
  6. Step 6: Final answer
    x = 238,240.47

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.