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Finding the Third Proportional to 107,435,706 and 218,822,024

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Solution

The third proportional to 107,435,706 and 218,822,024 is: 445,690,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,435,706 : 218,822,024 = 218,822,024 : x
  2. Step 2: Convert to fraction form
    107,435,706/218,822,024 = 218,822,024/x
  3. Step 3: Cross multiply
    107,435,706x = 218,822,024 × 218,822,024
  4. Step 4: Simplify right side
    107,435,706x = 47,883,078,187,456,576
  5. Step 5: Solve for x
    x = 47,883,078,187,456,576/107,435,706
  6. Step 6: Final answer
    x = 445,690,543.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.