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Finding the Third Proportional to 106,945 and 232,364.50

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Solution

The third proportional to 106,945 and 232,364.50 is: 504,869.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,945 : 232,364.50 = 232,364.50 : x
  2. Step 2: Convert to fraction form
    106,945/232,364.50 = 232,364.50/x
  3. Step 3: Cross multiply
    106,945x = 232,364.50 × 232,364.50
  4. Step 4: Simplify right side
    106,945x = 53,993,260,860.25
  5. Step 5: Solve for x
    x = 53,993,260,860.25/106,945
  6. Step 6: Final answer
    x = 504,869.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.