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Finding the Third Proportional to 143,826,848 and 316,970,188

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Solution

The third proportional to 143,826,848 and 316,970,188 is: 698,548,994.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,826,848 : 316,970,188 = 316,970,188 : x
  2. Step 2: Convert to fraction form
    143,826,848/316,970,188 = 316,970,188/x
  3. Step 3: Cross multiply
    143,826,848x = 316,970,188 × 316,970,188
  4. Step 4: Simplify right side
    143,826,848x = 100,470,100,080,755,344
  5. Step 5: Solve for x
    x = 100,470,100,080,755,344/143,826,848
  6. Step 6: Final answer
    x = 698,548,994.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.