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Finding the Third Proportional to 108,096,916 and 237,812,984

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Solution

The third proportional to 108,096,916 and 237,812,984 is: 523,188,056.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,096,916 : 237,812,984 = 237,812,984 : x
  2. Step 2: Convert to fraction form
    108,096,916/237,812,984 = 237,812,984/x
  3. Step 3: Cross multiply
    108,096,916x = 237,812,984 × 237,812,984
  4. Step 4: Simplify right side
    108,096,916x = 56,555,015,358,984,256
  5. Step 5: Solve for x
    x = 56,555,015,358,984,256/108,096,916
  6. Step 6: Final answer
    x = 523,188,056.16

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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.