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Finding the Third Proportional to 133,984,896 and 290,228,624

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Solution

The third proportional to 133,984,896 and 290,228,624 is: 628,672,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,984,896 : 290,228,624 = 290,228,624 : x
  2. Step 2: Convert to fraction form
    133,984,896/290,228,624 = 290,228,624/x
  3. Step 3: Cross multiply
    133,984,896x = 290,228,624 × 290,228,624
  4. Step 4: Simplify right side
    133,984,896x = 84,232,654,188,933,376
  5. Step 5: Solve for x
    x = 84,232,654,188,933,376/133,984,896
  6. Step 6: Final answer
    x = 628,672,758.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.