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Finding the Third Proportional to 239,515,548,108 and 515,358,051,885

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Solution

The third proportional to 239,515,548,108 and 515,358,051,885 is: 1,108,879,668,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,515,548,108 : 515,358,051,885 = 515,358,051,885 : x
  2. Step 2: Convert to fraction form
    239,515,548,108/515,358,051,885 = 515,358,051,885/x
  3. Step 3: Cross multiply
    239,515,548,108x = 515,358,051,885 × 515,358,051,885
  4. Step 4: Simplify right side
    239,515,548,108x = 265,593,921,642,702,355,562,496
  5. Step 5: Solve for x
    x = 265,593,921,642,702,355,562,496/239,515,548,108
  6. Step 6: Final answer
    x = 1,108,879,668,734.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.