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Finding the Third Proportional to 173,144,757,319.50 and 372,347,205,234

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Solution

The third proportional to 173,144,757,319.50 and 372,347,205,234 is: 800,731,384,489.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,144,757,319.50 : 372,347,205,234 = 372,347,205,234 : x
  2. Step 2: Convert to fraction form
    173,144,757,319.50/372,347,205,234 = 372,347,205,234/x
  3. Step 3: Cross multiply
    173,144,757,319.50x = 372,347,205,234 × 372,347,205,234
  4. Step 4: Simplify right side
    173,144,757,319.50x = 138,642,441,245,570,510,094,336
  5. Step 5: Solve for x
    x = 138,642,441,245,570,510,094,336/173,144,757,319.50
  6. Step 6: Final answer
    x = 800,731,384,489.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.