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Finding the Third Proportional to 239,515,548,110 and 515,358,051,889

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Solution

The third proportional to 239,515,548,110 and 515,358,051,889 is: 1,108,879,668,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,515,548,110 : 515,358,051,889 = 515,358,051,889 : x
  2. Step 2: Convert to fraction form
    239,515,548,110/515,358,051,889 = 515,358,051,889/x
  3. Step 3: Cross multiply
    239,515,548,110x = 515,358,051,889 × 515,358,051,889
  4. Step 4: Simplify right side
    239,515,548,110x = 265,593,921,646,825,222,176,768
  5. Step 5: Solve for x
    x = 265,593,921,646,825,222,176,768/239,515,548,110
  6. Step 6: Final answer
    x = 1,108,879,668,742.21

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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.