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Finding the Third Proportional to 88,816 and 190,228

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Solution

The third proportional to 88,816 and 190,228 is: 407,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,816 : 190,228 = 190,228 : x
  2. Step 2: Convert to fraction form
    88,816/190,228 = 190,228/x
  3. Step 3: Cross multiply
    88,816x = 190,228 × 190,228
  4. Step 4: Simplify right side
    88,816x = 36,186,691,984
  5. Step 5: Solve for x
    x = 36,186,691,984/88,816
  6. Step 6: Final answer
    x = 407,434.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.