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Finding the Third Proportional to 83,977,167 and 184,096,854

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Solution

The third proportional to 83,977,167 and 184,096,854 is: 403,581,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,977,167 : 184,096,854 = 184,096,854 : x
  2. Step 2: Convert to fraction form
    83,977,167/184,096,854 = 184,096,854/x
  3. Step 3: Cross multiply
    83,977,167x = 184,096,854 × 184,096,854
  4. Step 4: Simplify right side
    83,977,167x = 33,891,651,652,697,316
  5. Step 5: Solve for x
    x = 33,891,651,652,697,316/83,977,167
  6. Step 6: Final answer
    x = 403,581,745.65

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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.