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Finding the Third Proportional to 68,216,631,516 and 152,118,477,333

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Solution

The third proportional to 68,216,631,516 and 152,118,477,333 is: 339,213,922,350.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,216,631,516 : 152,118,477,333 = 152,118,477,333 : x
  2. Step 2: Convert to fraction form
    68,216,631,516/152,118,477,333 = 152,118,477,333/x
  3. Step 3: Cross multiply
    68,216,631,516x = 152,118,477,333 × 152,118,477,333
  4. Step 4: Simplify right side
    68,216,631,516x = 23,140,031,146,110,436,245,504
  5. Step 5: Solve for x
    x = 23,140,031,146,110,436,245,504/68,216,631,516
  6. Step 6: Final answer
    x = 339,213,922,350.93

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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.