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Finding the Third Proportional to 183,697,094,787 and 255,416,127,036

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Solution

The third proportional to 183,697,094,787 and 255,416,127,036 is: 355,135,708,736.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,697,094,787 : 255,416,127,036 = 255,416,127,036 : x
  2. Step 2: Convert to fraction form
    183,697,094,787/255,416,127,036 = 255,416,127,036/x
  3. Step 3: Cross multiply
    183,697,094,787x = 255,416,127,036 × 255,416,127,036
  4. Step 4: Simplify right side
    183,697,094,787x = 65,237,397,950,070,094,036,992
  5. Step 5: Solve for x
    x = 65,237,397,950,070,094,036,992/183,697,094,787
  6. Step 6: Final answer
    x = 355,135,708,736.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.