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Finding the Third Proportional to 85,289,199.75 and 184,196,301.75

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Solution

The third proportional to 85,289,199.75 and 184,196,301.75 is: 397,802,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,289,199.75 : 184,196,301.75 = 184,196,301.75 : x
  2. Step 2: Convert to fraction form
    85,289,199.75/184,196,301.75 = 184,196,301.75/x
  3. Step 3: Cross multiply
    85,289,199.75x = 184,196,301.75 × 184,196,301.75
  4. Step 4: Simplify right side
    85,289,199.75x = 33,928,277,578,377,052
  5. Step 5: Solve for x
    x = 33,928,277,578,377,052/85,289,199.75
  6. Step 6: Final answer
    x = 397,802,742.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.