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Finding the Third Proportional to 108,096,914 and 237,812,980

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Solution

The third proportional to 108,096,914 and 237,812,980 is: 523,188,048.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,096,914 : 237,812,980 = 237,812,980 : x
  2. Step 2: Convert to fraction form
    108,096,914/237,812,980 = 237,812,980/x
  3. Step 3: Cross multiply
    108,096,914x = 237,812,980 × 237,812,980
  4. Step 4: Simplify right side
    108,096,914x = 56,555,013,456,480,400
  5. Step 5: Solve for x
    x = 56,555,013,456,480,400/108,096,914
  6. Step 6: Final answer
    x = 523,188,048.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.