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Finding the Third Proportional to 46,230.75 and 109,836

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Solution

The third proportional to 46,230.75 and 109,836 is: 260,950.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,230.75 : 109,836 = 109,836 : x
  2. Step 2: Convert to fraction form
    46,230.75/109,836 = 109,836/x
  3. Step 3: Cross multiply
    46,230.75x = 109,836 × 109,836
  4. Step 4: Simplify right side
    46,230.75x = 12,063,946,896
  5. Step 5: Solve for x
    x = 12,063,946,896/46,230.75
  6. Step 6: Final answer
    x = 260,950.71

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.