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Finding the Third Proportional to 86,336,674,827 and 192,524,948,886

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Solution

The third proportional to 86,336,674,827 and 192,524,948,886 is: 429,317,622,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,336,674,827 : 192,524,948,886 = 192,524,948,886 : x
  2. Step 2: Convert to fraction form
    86,336,674,827/192,524,948,886 = 192,524,948,886/x
  3. Step 3: Cross multiply
    86,336,674,827x = 192,524,948,886 × 192,524,948,886
  4. Step 4: Simplify right side
    86,336,674,827x = 37,065,855,943,556,911,333,376
  5. Step 5: Solve for x
    x = 37,065,855,943,556,911,333,376/86,336,674,827
  6. Step 6: Final answer
    x = 429,317,622,178.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.