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Finding the Third Proportional to 193,471,718,611.60 and 420,911,296,250.46

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Solution

The third proportional to 193,471,718,611.60 and 420,911,296,250.46 is: 915,722,052,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,471,718,611.60 : 420,911,296,250.46 = 420,911,296,250.46 : x
  2. Step 2: Convert to fraction form
    193,471,718,611.60/420,911,296,250.46 = 420,911,296,250.46/x
  3. Step 3: Cross multiply
    193,471,718,611.60x = 420,911,296,250.46 × 420,911,296,250.46
  4. Step 4: Simplify right side
    193,471,718,611.60x = 177,166,319,311,242,508,894,208
  5. Step 5: Solve for x
    x = 177,166,319,311,242,508,894,208/193,471,718,611.60
  6. Step 6: Final answer
    x = 915,722,052,724.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.