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Finding the Third Proportional to 79,901,894,596.50 and 173,869,741,336.50

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Solution

The third proportional to 79,901,894,596.50 and 173,869,741,336.50 is: 378,347,561,157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,901,894,596.50 : 173,869,741,336.50 = 173,869,741,336.50 : x
  2. Step 2: Convert to fraction form
    79,901,894,596.50/173,869,741,336.50 = 173,869,741,336.50/x
  3. Step 3: Cross multiply
    79,901,894,596.50x = 173,869,741,336.50 × 173,869,741,336.50
  4. Step 4: Simplify right side
    79,901,894,596.50x = 30,230,686,952,421,417,025,536
  5. Step 5: Solve for x
    x = 30,230,686,952,421,417,025,536/79,901,894,596.50
  6. Step 6: Final answer
    x = 378,347,561,157.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.