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Finding the Third Proportional to 40,878 and 88,206

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Solution

The third proportional to 40,878 and 88,206 is: 190,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,878 : 88,206 = 88,206 : x
  2. Step 2: Convert to fraction form
    40,878/88,206 = 88,206/x
  3. Step 3: Cross multiply
    40,878x = 88,206 × 88,206
  4. Step 4: Simplify right side
    40,878x = 7,780,298,436
  5. Step 5: Solve for x
    x = 7,780,298,436/40,878
  6. Step 6: Final answer
    x = 190,329.72

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