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Finding the Third Proportional to 40,879.50 and 88,207.50

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Solution

The third proportional to 40,879.50 and 88,207.50 is: 190,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,879.50 : 88,207.50 = 88,207.50 : x
  2. Step 2: Convert to fraction form
    40,879.50/88,207.50 = 88,207.50/x
  3. Step 3: Cross multiply
    40,879.50x = 88,207.50 × 88,207.50
  4. Step 4: Simplify right side
    40,879.50x = 7,780,563,056.25
  5. Step 5: Solve for x
    x = 7,780,563,056.25/40,879.50
  6. Step 6: Final answer
    x = 190,329.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.