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Finding the Third Proportional to 357,228,666 and 769,194,115

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Solution

The third proportional to 357,228,666 and 769,194,115 is: 1,656,248,904.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,228,666 : 769,194,115 = 769,194,115 : x
  2. Step 2: Convert to fraction form
    357,228,666/769,194,115 = 769,194,115/x
  3. Step 3: Cross multiply
    357,228,666x = 769,194,115 × 769,194,115
  4. Step 4: Simplify right side
    357,228,666x = 591,659,586,550,633,216
  5. Step 5: Solve for x
    x = 591,659,586,550,633,216/357,228,666
  6. Step 6: Final answer
    x = 1,656,248,904.03

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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.