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Finding the Third Proportional to 85,174,969.50 and 184,886,560.13

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Solution

The third proportional to 85,174,969.50 and 184,886,560.13 is: 401,327,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,174,969.50 : 184,886,560.13 = 184,886,560.13 : x
  2. Step 2: Convert to fraction form
    85,174,969.50/184,886,560.13 = 184,886,560.13/x
  3. Step 3: Cross multiply
    85,174,969.50x = 184,886,560.13 × 184,886,560.13
  4. Step 4: Simplify right side
    85,174,969.50x = 34,183,040,114,855,240
  5. Step 5: Solve for x
    x = 34,183,040,114,855,240/85,174,969.50
  6. Step 6: Final answer
    x = 401,327,295.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.