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Finding the Third Proportional to 143,289,789.75 and 313,408,723.50

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Solution

The third proportional to 143,289,789.75 and 313,408,723.50 is: 685,499,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,289,789.75 : 313,408,723.50 = 313,408,723.50 : x
  2. Step 2: Convert to fraction form
    143,289,789.75/313,408,723.50 = 313,408,723.50/x
  3. Step 3: Cross multiply
    143,289,789.75x = 313,408,723.50 × 313,408,723.50
  4. Step 4: Simplify right side
    143,289,789.75x = 98,225,027,965,899,456
  5. Step 5: Solve for x
    x = 98,225,027,965,899,456/143,289,789.75
  6. Step 6: Final answer
    x = 685,499,142.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.