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Finding the Third Proportional to 102,986.44 and 146,989.69

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Solution

The third proportional to 102,986.44 and 146,989.69 is: 209,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,986.44 : 146,989.69 = 146,989.69 : x
  2. Step 2: Convert to fraction form
    102,986.44/146,989.69 = 146,989.69/x
  3. Step 3: Cross multiply
    102,986.44x = 146,989.69 × 146,989.69
  4. Step 4: Simplify right side
    102,986.44x = 21,605,968,231.35
  5. Step 5: Solve for x
    x = 21,605,968,231.35/102,986.44
  6. Step 6: Final answer
    x = 209,794.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.