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Finding the Third Proportional to 83,977,169 and 184,096,858

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Solution

The third proportional to 83,977,169 and 184,096,858 is: 403,581,753.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,977,169 : 184,096,858 = 184,096,858 : x
  2. Step 2: Convert to fraction form
    83,977,169/184,096,858 = 184,096,858/x
  3. Step 3: Cross multiply
    83,977,169x = 184,096,858 × 184,096,858
  4. Step 4: Simplify right side
    83,977,169x = 33,891,653,125,472,164
  5. Step 5: Solve for x
    x = 33,891,653,125,472,164/83,977,169
  6. Step 6: Final answer
    x = 403,581,753.58

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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.