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Finding the Third Proportional to 189,625,700,230 and 273,976,390,731

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Solution

The third proportional to 189,625,700,230 and 273,976,390,731 is: 395,848,572,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,625,700,230 : 273,976,390,731 = 273,976,390,731 : x
  2. Step 2: Convert to fraction form
    189,625,700,230/273,976,390,731 = 273,976,390,731/x
  3. Step 3: Cross multiply
    189,625,700,230x = 273,976,390,731 × 273,976,390,731
  4. Step 4: Simplify right side
    189,625,700,230x = 75,063,062,677,985,584,742,400
  5. Step 5: Solve for x
    x = 75,063,062,677,985,584,742,400/189,625,700,230
  6. Step 6: Final answer
    x = 395,848,572,144.71

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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.