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Finding the Third Proportional to 188,381,080,236 and 289,555,226,514

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Solution

The third proportional to 188,381,080,236 and 289,555,226,514 is: 445,067,143,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,381,080,236 : 289,555,226,514 = 289,555,226,514 : x
  2. Step 2: Convert to fraction form
    188,381,080,236/289,555,226,514 = 289,555,226,514/x
  3. Step 3: Cross multiply
    188,381,080,236x = 289,555,226,514 × 289,555,226,514
  4. Step 4: Simplify right side
    188,381,080,236x = 83,842,229,201,573,848,809,472
  5. Step 5: Solve for x
    x = 83,842,229,201,573,848,809,472/188,381,080,236
  6. Step 6: Final answer
    x = 445,067,143,136.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.