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Finding the Third Proportional to 86,023,122.75 and 185,753,202.75

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Solution

The third proportional to 86,023,122.75 and 185,753,202.75 is: 401,104,391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,023,122.75 : 185,753,202.75 = 185,753,202.75 : x
  2. Step 2: Convert to fraction form
    86,023,122.75/185,753,202.75 = 185,753,202.75/x
  3. Step 3: Cross multiply
    86,023,122.75x = 185,753,202.75 × 185,753,202.75
  4. Step 4: Simplify right side
    86,023,122.75x = 34,504,252,331,882,608
  5. Step 5: Solve for x
    x = 34,504,252,331,882,608/86,023,122.75
  6. Step 6: Final answer
    x = 401,104,391.81

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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.