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Finding the Third Proportional to 208,056,576 and 306,051,936

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Solution

The third proportional to 208,056,576 and 306,051,936 is: 450,203,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,056,576 : 306,051,936 = 306,051,936 : x
  2. Step 2: Convert to fraction form
    208,056,576/306,051,936 = 306,051,936/x
  3. Step 3: Cross multiply
    208,056,576x = 306,051,936 × 306,051,936
  4. Step 4: Simplify right side
    208,056,576x = 93,667,787,529,348,096
  5. Step 5: Solve for x
    x = 93,667,787,529,348,096/208,056,576
  6. Step 6: Final answer
    x = 450,203,446.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.