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Finding the Third Proportional to 105,913.50 and 232,816.50

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Solution

The third proportional to 105,913.50 and 232,816.50 is: 511,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,913.50 : 232,816.50 = 232,816.50 : x
  2. Step 2: Convert to fraction form
    105,913.50/232,816.50 = 232,816.50/x
  3. Step 3: Cross multiply
    105,913.50x = 232,816.50 × 232,816.50
  4. Step 4: Simplify right side
    105,913.50x = 54,203,522,672.25
  5. Step 5: Solve for x
    x = 54,203,522,672.25/105,913.50
  6. Step 6: Final answer
    x = 511,771.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.