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Finding the Third Proportional to 40,228 and 88,232

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Solution

The third proportional to 40,228 and 88,232 is: 193,519.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,228 : 88,232 = 88,232 : x
  2. Step 2: Convert to fraction form
    40,228/88,232 = 88,232/x
  3. Step 3: Cross multiply
    40,228x = 88,232 × 88,232
  4. Step 4: Simplify right side
    40,228x = 7,784,885,824
  5. Step 5: Solve for x
    x = 7,784,885,824/40,228
  6. Step 6: Final answer
    x = 193,519.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.