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Finding the Third Proportional to 68,216,631,518 and 152,118,477,337

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Solution

The third proportional to 68,216,631,518 and 152,118,477,337 is: 339,213,922,358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,216,631,518 : 152,118,477,337 = 152,118,477,337 : x
  2. Step 2: Convert to fraction form
    68,216,631,518/152,118,477,337 = 152,118,477,337/x
  3. Step 3: Cross multiply
    68,216,631,518x = 152,118,477,337 × 152,118,477,337
  4. Step 4: Simplify right side
    68,216,631,518x = 23,140,031,147,327,384,190,976
  5. Step 5: Solve for x
    x = 23,140,031,147,327,384,190,976/68,216,631,518
  6. Step 6: Final answer
    x = 339,213,922,358.82

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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.