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Finding the Third Proportional to 120,757,538.81 and 265,238,241.19

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Solution

The third proportional to 120,757,538.81 and 265,238,241.19 is: 582,583,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,757,538.81 : 265,238,241.19 = 265,238,241.19 : x
  2. Step 2: Convert to fraction form
    120,757,538.81/265,238,241.19 = 265,238,241.19/x
  3. Step 3: Cross multiply
    120,757,538.81x = 265,238,241.19 × 265,238,241.19
  4. Step 4: Simplify right side
    120,757,538.81x = 70,351,324,588,238,424
  5. Step 5: Solve for x
    x = 70,351,324,588,238,424/120,757,538.81
  6. Step 6: Final answer
    x = 582,583,292.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.