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Finding the Third Proportional to 135,259,354 and 295,421,692

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Solution

The third proportional to 135,259,354 and 295,421,692 is: 645,234,311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,259,354 : 295,421,692 = 295,421,692 : x
  2. Step 2: Convert to fraction form
    135,259,354/295,421,692 = 295,421,692/x
  3. Step 3: Cross multiply
    135,259,354x = 295,421,692 × 295,421,692
  4. Step 4: Simplify right side
    135,259,354x = 87,273,976,104,142,864
  5. Step 5: Solve for x
    x = 87,273,976,104,142,864/135,259,354
  6. Step 6: Final answer
    x = 645,234,311.15

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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.