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Finding the Third Proportional to 41,899.50 and 88,108.50

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Solution

The third proportional to 41,899.50 and 88,108.50 is: 185,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,899.50 : 88,108.50 = 88,108.50 : x
  2. Step 2: Convert to fraction form
    41,899.50/88,108.50 = 88,108.50/x
  3. Step 3: Cross multiply
    41,899.50x = 88,108.50 × 88,108.50
  4. Step 4: Simplify right side
    41,899.50x = 7,763,107,772.25
  5. Step 5: Solve for x
    x = 7,763,107,772.25/41,899.50
  6. Step 6: Final answer
    x = 185,279.25

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.