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Finding the Third Proportional to 65,227,119 and 140,667,870

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Solution

The third proportional to 65,227,119 and 140,667,870 is: 303,362,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,227,119 : 140,667,870 = 140,667,870 : x
  2. Step 2: Convert to fraction form
    65,227,119/140,667,870 = 140,667,870/x
  3. Step 3: Cross multiply
    65,227,119x = 140,667,870 × 140,667,870
  4. Step 4: Simplify right side
    65,227,119x = 19,787,449,650,336,900
  5. Step 5: Solve for x
    x = 19,787,449,650,336,900/65,227,119
  6. Step 6: Final answer
    x = 303,362,312.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.