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Finding the Third Proportional to 172,021,787,541 and 239,182,545,375

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Solution

The third proportional to 172,021,787,541 and 239,182,545,375 is: 332,564,210,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,021,787,541 : 239,182,545,375 = 239,182,545,375 : x
  2. Step 2: Convert to fraction form
    172,021,787,541/239,182,545,375 = 239,182,545,375/x
  3. Step 3: Cross multiply
    172,021,787,541x = 239,182,545,375 × 239,182,545,375
  4. Step 4: Simplify right side
    172,021,787,541x = 57,208,290,012,063,929,991,168
  5. Step 5: Solve for x
    x = 57,208,290,012,063,929,991,168/172,021,787,541
  6. Step 6: Final answer
    x = 332,564,210,788.87

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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.