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Finding the Third Proportional to 106,947 and 232,369.50

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Solution

The third proportional to 106,947 and 232,369.50 is: 504,881.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,947 : 232,369.50 = 232,369.50 : x
  2. Step 2: Convert to fraction form
    106,947/232,369.50 = 232,369.50/x
  3. Step 3: Cross multiply
    106,947x = 232,369.50 × 232,369.50
  4. Step 4: Simplify right side
    106,947x = 53,995,584,530.25
  5. Step 5: Solve for x
    x = 53,995,584,530.25/106,947
  6. Step 6: Final answer
    x = 504,881.71

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