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Finding the Third Proportional to 107,435,704 and 218,822,020

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Solution

The third proportional to 107,435,704 and 218,822,020 is: 445,690,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,435,704 : 218,822,020 = 218,822,020 : x
  2. Step 2: Convert to fraction form
    107,435,704/218,822,020 = 218,822,020/x
  3. Step 3: Cross multiply
    107,435,704x = 218,822,020 × 218,822,020
  4. Step 4: Simplify right side
    107,435,704x = 47,883,076,436,880,400
  5. Step 5: Solve for x
    x = 47,883,076,436,880,400/107,435,704
  6. Step 6: Final answer
    x = 445,690,535.40

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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.