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Finding the Third Proportional to 181,504,130 and 398,274,436

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Solution

The third proportional to 181,504,130 and 398,274,436 is: 873,933,427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,504,130 : 398,274,436 = 398,274,436 : x
  2. Step 2: Convert to fraction form
    181,504,130/398,274,436 = 398,274,436/x
  3. Step 3: Cross multiply
    181,504,130x = 398,274,436 × 398,274,436
  4. Step 4: Simplify right side
    181,504,130x = 158,622,526,371,118,080
  5. Step 5: Solve for x
    x = 158,622,526,371,118,080/181,504,130
  6. Step 6: Final answer
    x = 873,933,427.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.