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Finding the Third Proportional to 36,692,066 and 85,682,165

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Solution

The third proportional to 36,692,066 and 85,682,165 is: 200,082,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,692,066 : 85,682,165 = 85,682,165 : x
  2. Step 2: Convert to fraction form
    36,692,066/85,682,165 = 85,682,165/x
  3. Step 3: Cross multiply
    36,692,066x = 85,682,165 × 85,682,165
  4. Step 4: Simplify right side
    36,692,066x = 7,341,433,399,087,225
  5. Step 5: Solve for x
    x = 7,341,433,399,087,225/36,692,066
  6. Step 6: Final answer
    x = 200,082,312.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.