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Finding the Third Proportional to 240,315,183 and 493,370,194

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Solution

The third proportional to 240,315,183 and 493,370,194 is: 1,012,895,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,315,183 : 493,370,194 = 493,370,194 : x
  2. Step 2: Convert to fraction form
    240,315,183/493,370,194 = 493,370,194/x
  3. Step 3: Cross multiply
    240,315,183x = 493,370,194 × 493,370,194
  4. Step 4: Simplify right side
    240,315,183x = 243,414,148,327,597,632
  5. Step 5: Solve for x
    x = 243,414,148,327,597,632/240,315,183
  6. Step 6: Final answer
    x = 1,012,895,420.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.