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Finding the Third Proportional to 189,625,700,164 and 273,976,390,634

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Solution

The third proportional to 189,625,700,164 and 273,976,390,634 is: 395,848,572,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,625,700,164 : 273,976,390,634 = 273,976,390,634 : x
  2. Step 2: Convert to fraction form
    189,625,700,164/273,976,390,634 = 273,976,390,634/x
  3. Step 3: Cross multiply
    189,625,700,164x = 273,976,390,634 × 273,976,390,634
  4. Step 4: Simplify right side
    189,625,700,164x = 75,063,062,624,834,164,883,456
  5. Step 5: Solve for x
    x = 75,063,062,624,834,164,883,456/189,625,700,164
  6. Step 6: Final answer
    x = 395,848,572,002.19

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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.