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Finding the Third Proportional to 83,977,165 and 184,096,850

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Solution

The third proportional to 83,977,165 and 184,096,850 is: 403,581,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,977,165 : 184,096,850 = 184,096,850 : x
  2. Step 2: Convert to fraction form
    83,977,165/184,096,850 = 184,096,850/x
  3. Step 3: Cross multiply
    83,977,165x = 184,096,850 × 184,096,850
  4. Step 4: Simplify right side
    83,977,165x = 33,891,650,179,922,500
  5. Step 5: Solve for x
    x = 33,891,650,179,922,500/83,977,165
  6. Step 6: Final answer
    x = 403,581,737.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.