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Finding the Third Proportional to 357,228,664 and 769,194,111

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Solution

The third proportional to 357,228,664 and 769,194,111 is: 1,656,248,896.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,228,664 : 769,194,111 = 769,194,111 : x
  2. Step 2: Convert to fraction form
    357,228,664/769,194,111 = 769,194,111/x
  3. Step 3: Cross multiply
    357,228,664x = 769,194,111 × 769,194,111
  4. Step 4: Simplify right side
    357,228,664x = 591,659,580,397,080,320
  5. Step 5: Solve for x
    x = 591,659,580,397,080,320/357,228,664
  6. Step 6: Final answer
    x = 1,656,248,896.08

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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.