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Finding the Third Proportional to 173,144,757,322 and 372,347,205,239

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Solution

The third proportional to 173,144,757,322 and 372,347,205,239 is: 800,731,384,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,144,757,322 : 372,347,205,239 = 372,347,205,239 : x
  2. Step 2: Convert to fraction form
    173,144,757,322/372,347,205,239 = 372,347,205,239/x
  3. Step 3: Cross multiply
    173,144,757,322x = 372,347,205,239 × 372,347,205,239
  4. Step 4: Simplify right side
    173,144,757,322x = 138,642,441,249,293,995,081,728
  5. Step 5: Solve for x
    x = 138,642,441,249,293,995,081,728/173,144,757,322
  6. Step 6: Final answer
    x = 800,731,384,499.61

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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.