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Finding the Third Proportional to 141,151,170 and 305,752,144.50

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Solution

The third proportional to 141,151,170 and 305,752,144.50 is: 662,299,673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,151,170 : 305,752,144.50 = 305,752,144.50 : x
  2. Step 2: Convert to fraction form
    141,151,170/305,752,144.50 = 305,752,144.50/x
  3. Step 3: Cross multiply
    141,151,170x = 305,752,144.50 × 305,752,144.50
  4. Step 4: Simplify right side
    141,151,170x = 93,484,373,866,348,880
  5. Step 5: Solve for x
    x = 93,484,373,866,348,880/141,151,170
  6. Step 6: Final answer
    x = 662,299,673.93

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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.