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Finding the Third Proportional to 188,814,152 and 284,958,156

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Solution

The third proportional to 188,814,152 and 284,958,156 is: 430,058,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,814,152 : 284,958,156 = 284,958,156 : x
  2. Step 2: Convert to fraction form
    188,814,152/284,958,156 = 284,958,156/x
  3. Step 3: Cross multiply
    188,814,152x = 284,958,156 × 284,958,156
  4. Step 4: Simplify right side
    188,814,152x = 81,201,150,670,920,336
  5. Step 5: Solve for x
    x = 81,201,150,670,920,336/188,814,152
  6. Step 6: Final answer
    x = 430,058,604.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.