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Finding the Third Proportional to 173,144,757,321 and 372,347,205,236.24

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Solution

The third proportional to 173,144,757,321 and 372,347,205,236.24 is: 800,731,384,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,144,757,321 : 372,347,205,236.24 = 372,347,205,236.24 : x
  2. Step 2: Convert to fraction form
    173,144,757,321/372,347,205,236.24 = 372,347,205,236.24/x
  3. Step 3: Cross multiply
    173,144,757,321x = 372,347,205,236.24 × 372,347,205,236.24
  4. Step 4: Simplify right side
    173,144,757,321x = 138,642,441,247,238,618,349,568
  5. Step 5: Solve for x
    x = 138,642,441,247,238,618,349,568/173,144,757,321
  6. Step 6: Final answer
    x = 800,731,384,492.36

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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.