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Finding the Third Proportional to 150,862,080 and 325,763,664

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Solution

The third proportional to 150,862,080 and 325,763,664 is: 703,436,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,862,080 : 325,763,664 = 325,763,664 : x
  2. Step 2: Convert to fraction form
    150,862,080/325,763,664 = 325,763,664/x
  3. Step 3: Cross multiply
    150,862,080x = 325,763,664 × 325,763,664
  4. Step 4: Simplify right side
    150,862,080x = 106,121,964,782,704,896
  5. Step 5: Solve for x
    x = 106,121,964,782,704,896/150,862,080
  6. Step 6: Final answer
    x = 703,436,972.25

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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.