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Finding the Third Proportional to 88,686 and 205,099.88

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Solution

The third proportional to 88,686 and 205,099.88 is: 474,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,686 : 205,099.88 = 205,099.88 : x
  2. Step 2: Convert to fraction form
    88,686/205,099.88 = 205,099.88/x
  3. Step 3: Cross multiply
    88,686x = 205,099.88 × 205,099.88
  4. Step 4: Simplify right side
    88,686x = 42,065,958,725.02
  5. Step 5: Solve for x
    x = 42,065,958,725.02/88,686
  6. Step 6: Final answer
    x = 474,324.68

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.