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Finding the Third Proportional to 120,143,759.63 and 180,535,540.50

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Solution

The third proportional to 120,143,759.63 and 180,535,540.50 is: 271,284,014.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,143,759.63 : 180,535,540.50 = 180,535,540.50 : x
  2. Step 2: Convert to fraction form
    120,143,759.63/180,535,540.50 = 180,535,540.50/x
  3. Step 3: Cross multiply
    120,143,759.63x = 180,535,540.50 × 180,535,540.50
  4. Step 4: Simplify right side
    120,143,759.63x = 32,593,081,383,627,140
  5. Step 5: Solve for x
    x = 32,593,081,383,627,140/120,143,759.63
  6. Step 6: Final answer
    x = 271,284,014.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.