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Finding the Third Proportional to 40,878 and 88,205.50

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Solution

The third proportional to 40,878 and 88,205.50 is: 190,327.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,878 : 88,205.50 = 88,205.50 : x
  2. Step 2: Convert to fraction form
    40,878/88,205.50 = 88,205.50/x
  3. Step 3: Cross multiply
    40,878x = 88,205.50 × 88,205.50
  4. Step 4: Simplify right side
    40,878x = 7,780,210,230.25
  5. Step 5: Solve for x
    x = 7,780,210,230.25/40,878
  6. Step 6: Final answer
    x = 190,327.57

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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.