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Finding the Third Proportional to 108,356,376 and 231,408,096

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Solution

The third proportional to 108,356,376 and 231,408,096 is: 494,199,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,356,376 : 231,408,096 = 231,408,096 : x
  2. Step 2: Convert to fraction form
    108,356,376/231,408,096 = 231,408,096/x
  3. Step 3: Cross multiply
    108,356,376x = 231,408,096 × 231,408,096
  4. Step 4: Simplify right side
    108,356,376x = 53,549,706,894,345,216
  5. Step 5: Solve for x
    x = 53,549,706,894,345,216/108,356,376
  6. Step 6: Final answer
    x = 494,199,869.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.