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Finding the Third Proportional to 50,645,207,328 and 107,840,602,176

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Solution

The third proportional to 50,645,207,328 and 107,840,602,176 is: 229,628,746,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,645,207,328 : 107,840,602,176 = 107,840,602,176 : x
  2. Step 2: Convert to fraction form
    50,645,207,328/107,840,602,176 = 107,840,602,176/x
  3. Step 3: Cross multiply
    50,645,207,328x = 107,840,602,176 × 107,840,602,176
  4. Step 4: Simplify right side
    50,645,207,328x = 11,629,595,477,682,295,930,880
  5. Step 5: Solve for x
    x = 11,629,595,477,682,295,930,880/50,645,207,328
  6. Step 6: Final answer
    x = 229,628,746,553.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.