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Finding the Third Proportional to 102,230.86 and 146,336.31

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Solution

The third proportional to 102,230.86 and 146,336.31 is: 209,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,230.86 : 146,336.31 = 146,336.31 : x
  2. Step 2: Convert to fraction form
    102,230.86/146,336.31 = 146,336.31/x
  3. Step 3: Cross multiply
    102,230.86x = 146,336.31 × 146,336.31
  4. Step 4: Simplify right side
    102,230.86x = 21,414,315,212.85
  5. Step 5: Solve for x
    x = 21,414,315,212.85/102,230.86
  6. Step 6: Final answer
    x = 209,470.17

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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.