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Finding the Third Proportional to 141,151,186 and 305,752,177

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Solution

The third proportional to 141,151,186 and 305,752,177 is: 662,299,739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,151,186 : 305,752,177 = 305,752,177 : x
  2. Step 2: Convert to fraction form
    141,151,186/305,752,177 = 305,752,177/x
  3. Step 3: Cross multiply
    141,151,186x = 305,752,177 × 305,752,177
  4. Step 4: Simplify right side
    141,151,186x = 93,484,393,740,239,328
  5. Step 5: Solve for x
    x = 93,484,393,740,239,328/141,151,186
  6. Step 6: Final answer
    x = 662,299,739.66

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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.