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Finding the Third Proportional to 153,199,847 and 327,698,848

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Solution

The third proportional to 153,199,847 and 327,698,848 is: 700,957,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,199,847 : 327,698,848 = 327,698,848 : x
  2. Step 2: Convert to fraction form
    153,199,847/327,698,848 = 327,698,848/x
  3. Step 3: Cross multiply
    153,199,847x = 327,698,848 × 327,698,848
  4. Step 4: Simplify right side
    153,199,847x = 107,386,534,980,527,104
  5. Step 5: Solve for x
    x = 107,386,534,980,527,104/153,199,847
  6. Step 6: Final answer
    x = 700,957,194.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.