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Finding the Third Proportional to 68,519,046,811.50 and 104,747,952,782.25

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Solution

The third proportional to 68,519,046,811.50 and 104,747,952,782.25 is: 160,132,607,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,519,046,811.50 : 104,747,952,782.25 = 104,747,952,782.25 : x
  2. Step 2: Convert to fraction form
    68,519,046,811.50/104,747,952,782.25 = 104,747,952,782.25/x
  3. Step 3: Cross multiply
    68,519,046,811.50x = 104,747,952,782.25 × 104,747,952,782.25
  4. Step 4: Simplify right side
    68,519,046,811.50x = 10,972,133,612,072,474,771,456
  5. Step 5: Solve for x
    x = 10,972,133,612,072,474,771,456/68,519,046,811.50
  6. Step 6: Final answer
    x = 160,132,607,247.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.