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Finding the Third Proportional to 183,879,614.25 and 274,224,855.38

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Solution

The third proportional to 183,879,614.25 and 274,224,855.38 is: 408,959,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,879,614.25 : 274,224,855.38 = 274,224,855.38 : x
  2. Step 2: Convert to fraction form
    183,879,614.25/274,224,855.38 = 274,224,855.38/x
  3. Step 3: Cross multiply
    183,879,614.25x = 274,224,855.38 × 274,224,855.38
  4. Step 4: Simplify right side
    183,879,614.25x = 75,199,271,305,439,664
  5. Step 5: Solve for x
    x = 75,199,271,305,439,664/183,879,614.25
  6. Step 6: Final answer
    x = 408,959,261.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.