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Finding the Third Proportional to 189,625,692,575 and 273,976,379,501

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Solution

The third proportional to 189,625,692,575 and 273,976,379,501 is: 395,848,555,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,625,692,575 : 273,976,379,501 = 273,976,379,501 : x
  2. Step 2: Convert to fraction form
    189,625,692,575/273,976,379,501 = 273,976,379,501/x
  3. Step 3: Cross multiply
    189,625,692,575x = 273,976,379,501 × 273,976,379,501
  4. Step 4: Simplify right side
    189,625,692,575x = 75,063,056,524,475,973,500,928
  5. Step 5: Solve for x
    x = 75,063,056,524,475,973,500,928/189,625,692,575
  6. Step 6: Final answer
    x = 395,848,555,673.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.