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Finding the Third Proportional to 150,862,082 and 325,763,668

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Solution

The third proportional to 150,862,082 and 325,763,668 is: 703,436,980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,862,082 : 325,763,668 = 325,763,668 : x
  2. Step 2: Convert to fraction form
    150,862,082/325,763,668 = 325,763,668/x
  3. Step 3: Cross multiply
    150,862,082x = 325,763,668 × 325,763,668
  4. Step 4: Simplify right side
    150,862,082x = 106,121,967,388,814,224
  5. Step 5: Solve for x
    x = 106,121,967,388,814,224/150,862,082
  6. Step 6: Final answer
    x = 703,436,980.20

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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.