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Finding the Third Proportional to 88,467.19 and 190,982.81

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Solution

The third proportional to 88,467.19 and 190,982.81 is: 412,293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,467.19 : 190,982.81 = 190,982.81 : x
  2. Step 2: Convert to fraction form
    88,467.19/190,982.81 = 190,982.81/x
  3. Step 3: Cross multiply
    88,467.19x = 190,982.81 × 190,982.81
  4. Step 4: Simplify right side
    88,467.19x = 36,474,434,670.41
  5. Step 5: Solve for x
    x = 36,474,434,670.41/88,467.19
  6. Step 6: Final answer
    x = 412,293.37

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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.