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Finding the Third Proportional to 83,668,325,516 and 179,273,036,412

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Solution

The third proportional to 83,668,325,516 and 179,273,036,412 is: 384,121,725,708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,668,325,516 : 179,273,036,412 = 179,273,036,412 : x
  2. Step 2: Convert to fraction form
    83,668,325,516/179,273,036,412 = 179,273,036,412/x
  3. Step 3: Cross multiply
    83,668,325,516x = 179,273,036,412 × 179,273,036,412
  4. Step 4: Simplify right side
    83,668,325,516x = 32,138,821,584,378,279,231,488
  5. Step 5: Solve for x
    x = 32,138,821,584,378,279,231,488/83,668,325,516
  6. Step 6: Final answer
    x = 384,121,725,708.88

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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.