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Finding the Third Proportional to 83,977,173 and 184,096,866

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Solution

The third proportional to 83,977,173 and 184,096,866 is: 403,581,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,977,173 : 184,096,866 = 184,096,866 : x
  2. Step 2: Convert to fraction form
    83,977,173/184,096,866 = 184,096,866/x
  3. Step 3: Cross multiply
    83,977,173x = 184,096,866 × 184,096,866
  4. Step 4: Simplify right side
    83,977,173x = 33,891,656,071,021,956
  5. Step 5: Solve for x
    x = 33,891,656,071,021,956/83,977,173
  6. Step 6: Final answer
    x = 403,581,769.43

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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.