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Finding the Third Proportional to 173,144,757,315 and 372,347,205,225

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Solution

The third proportional to 173,144,757,315 and 372,347,205,225 is: 800,731,384,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,144,757,315 : 372,347,205,225 = 372,347,205,225 : x
  2. Step 2: Convert to fraction form
    173,144,757,315/372,347,205,225 = 372,347,205,225/x
  3. Step 3: Cross multiply
    173,144,757,315x = 372,347,205,225 × 372,347,205,225
  4. Step 4: Simplify right side
    173,144,757,315x = 138,642,441,238,868,263,960,576
  5. Step 5: Solve for x
    x = 138,642,441,238,868,263,960,576/173,144,757,315
  6. Step 6: Final answer
    x = 800,731,384,471.77

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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.