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Finding the Third Proportional to 172,021,787,132 and 239,182,544,847

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Solution

The third proportional to 172,021,787,132 and 239,182,544,847 is: 332,564,210,111.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,021,787,132 : 239,182,544,847 = 239,182,544,847 : x
  2. Step 2: Convert to fraction form
    172,021,787,132/239,182,544,847 = 239,182,544,847/x
  3. Step 3: Cross multiply
    172,021,787,132x = 239,182,544,847 × 239,182,544,847
  4. Step 4: Simplify right side
    172,021,787,132x = 57,208,289,759,487,162,580,992
  5. Step 5: Solve for x
    x = 57,208,289,759,487,162,580,992/172,021,787,132
  6. Step 6: Final answer
    x = 332,564,210,111.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.