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Finding the Third Proportional to 100,698,962 and 155,496,812

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Solution

The third proportional to 100,698,962 and 155,496,812 is: 240,114,277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698,962 : 155,496,812 = 155,496,812 : x
  2. Step 2: Convert to fraction form
    100,698,962/155,496,812 = 155,496,812/x
  3. Step 3: Cross multiply
    100,698,962x = 155,496,812 × 155,496,812
  4. Step 4: Simplify right side
    100,698,962x = 24,179,258,542,163,344
  5. Step 5: Solve for x
    x = 24,179,258,542,163,344/100,698,962
  6. Step 6: Final answer
    x = 240,114,277.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.