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Finding the Third Proportional to 357,228,659 and 769,194,100.50

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Solution

The third proportional to 357,228,659 and 769,194,100.50 is: 1,656,248,874.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,228,659 : 769,194,100.50 = 769,194,100.50 : x
  2. Step 2: Convert to fraction form
    357,228,659/769,194,100.50 = 769,194,100.50/x
  3. Step 3: Cross multiply
    357,228,659x = 769,194,100.50 × 769,194,100.50
  4. Step 4: Simplify right side
    357,228,659x = 591,659,564,244,004,096
  5. Step 5: Solve for x
    x = 591,659,564,244,004,096/357,228,659
  6. Step 6: Final answer
    x = 1,656,248,874.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.