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Finding the Third Proportional to 189,625,700,228 and 273,976,390,728

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Solution

The third proportional to 189,625,700,228 and 273,976,390,728 is: 395,848,572,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,625,700,228 : 273,976,390,728 = 273,976,390,728 : x
  2. Step 2: Convert to fraction form
    189,625,700,228/273,976,390,728 = 273,976,390,728/x
  3. Step 3: Cross multiply
    189,625,700,228x = 273,976,390,728 × 273,976,390,728
  4. Step 4: Simplify right side
    189,625,700,228x = 75,063,062,676,341,727,952,896
  5. Step 5: Solve for x
    x = 75,063,062,676,341,727,952,896/189,625,700,228
  6. Step 6: Final answer
    x = 395,848,572,140.21

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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.