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Finding the Third Proportional to 85,174,944.94 and 184,886,507.63

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Solution

The third proportional to 85,174,944.94 and 184,886,507.63 is: 401,327,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,174,944.94 : 184,886,507.63 = 184,886,507.63 : x
  2. Step 2: Convert to fraction form
    85,174,944.94/184,886,507.63 = 184,886,507.63/x
  3. Step 3: Cross multiply
    85,174,944.94x = 184,886,507.63 × 184,886,507.63
  4. Step 4: Simplify right side
    85,174,944.94x = 34,183,020,701,769,184
  5. Step 5: Solve for x
    x = 34,183,020,701,769,184/85,174,944.94
  6. Step 6: Final answer
    x = 401,327,182.86

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