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Finding the Third Proportional to 150,862,072.50 and 325,763,649

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Solution

The third proportional to 150,862,072.50 and 325,763,649 is: 703,436,942.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,862,072.50 : 325,763,649 = 325,763,649 : x
  2. Step 2: Convert to fraction form
    150,862,072.50/325,763,649 = 325,763,649/x
  3. Step 3: Cross multiply
    150,862,072.50x = 325,763,649 × 325,763,649
  4. Step 4: Simplify right side
    150,862,072.50x = 106,121,955,009,795,200
  5. Step 5: Solve for x
    x = 106,121,955,009,795,200/150,862,072.50
  6. Step 6: Final answer
    x = 703,436,942.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.