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Finding the Third Proportional to 120,230,538 and 262,597,066.50

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Solution

The third proportional to 120,230,538 and 262,597,066.50 is: 573,541,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,230,538 : 262,597,066.50 = 262,597,066.50 : x
  2. Step 2: Convert to fraction form
    120,230,538/262,597,066.50 = 262,597,066.50/x
  3. Step 3: Cross multiply
    120,230,538x = 262,597,066.50 × 262,597,066.50
  4. Step 4: Simplify right side
    120,230,538x = 68,957,219,334,405,424
  5. Step 5: Solve for x
    x = 68,957,219,334,405,424/120,230,538
  6. Step 6: Final answer
    x = 573,541,634.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.