Home / 140,024,745,003.75-301,286,828,219.25

Finding the Third Proportional to 140,024,745,003.75 and 301,286,828,219.25

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Solution

The third proportional to 140,024,745,003.75 and 301,286,828,219.25 is: 648,269,367,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,024,745,003.75 : 301,286,828,219.25 = 301,286,828,219.25 : x
  2. Step 2: Convert to fraction form
    140,024,745,003.75/301,286,828,219.25 = 301,286,828,219.25/x
  3. Step 3: Cross multiply
    140,024,745,003.75x = 301,286,828,219.25 × 301,286,828,219.25
  4. Step 4: Simplify right side
    140,024,745,003.75x = 90,773,752,858,415,865,004,032
  5. Step 5: Solve for x
    x = 90,773,752,858,415,865,004,032/140,024,745,003.75
  6. Step 6: Final answer
    x = 648,269,367,360.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.