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Finding the Third Proportional to 108,840,024 and 236,811,096

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Solution

The third proportional to 108,840,024 and 236,811,096 is: 515,246,993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,840,024 : 236,811,096 = 236,811,096 : x
  2. Step 2: Convert to fraction form
    108,840,024/236,811,096 = 236,811,096/x
  3. Step 3: Cross multiply
    108,840,024x = 236,811,096 × 236,811,096
  4. Step 4: Simplify right side
    108,840,024x = 56,079,495,188,721,216
  5. Step 5: Solve for x
    x = 56,079,495,188,721,216/108,840,024
  6. Step 6: Final answer
    x = 515,246,993.96

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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.