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Finding the Third Proportional to 141,151,167 and 305,752,137.75

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Solution

The third proportional to 141,151,167 and 305,752,137.75 is: 662,299,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,151,167 : 305,752,137.75 = 305,752,137.75 : x
  2. Step 2: Convert to fraction form
    141,151,167/305,752,137.75 = 305,752,137.75/x
  3. Step 3: Cross multiply
    141,151,167x = 305,752,137.75 × 305,752,137.75
  4. Step 4: Simplify right side
    141,151,167x = 93,484,369,738,694,976
  5. Step 5: Solve for x
    x = 93,484,369,738,694,976/141,151,167
  6. Step 6: Final answer
    x = 662,299,658.77

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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.