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Finding the Third Proportional to 150,862,075 and 325,763,653

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Solution

The third proportional to 150,862,075 and 325,763,653 is: 703,436,948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,862,075 : 325,763,653 = 325,763,653 : x
  2. Step 2: Convert to fraction form
    150,862,075/325,763,653 = 325,763,653/x
  3. Step 3: Cross multiply
    150,862,075x = 325,763,653 × 325,763,653
  4. Step 4: Simplify right side
    150,862,075x = 106,121,957,615,904,416
  5. Step 5: Solve for x
    x = 106,121,957,615,904,416/150,862,075
  6. Step 6: Final answer
    x = 703,436,948.06

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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.