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Finding the Third Proportional to 108,840,144 and 236,811,312

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Solution

The third proportional to 108,840,144 and 236,811,312 is: 515,247,365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,840,144 : 236,811,312 = 236,811,312 : x
  2. Step 2: Convert to fraction form
    108,840,144/236,811,312 = 236,811,312/x
  3. Step 3: Cross multiply
    108,840,144x = 236,811,312 × 236,811,312
  4. Step 4: Simplify right side
    108,840,144x = 56,079,597,491,161,344
  5. Step 5: Solve for x
    x = 56,079,597,491,161,344/108,840,144
  6. Step 6: Final answer
    x = 515,247,365.82

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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.