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Finding the Third Proportional to 183,828,447 and 398,293,848

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Solution

The third proportional to 183,828,447 and 398,293,848 is: 862,967,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,828,447 : 398,293,848 = 398,293,848 : x
  2. Step 2: Convert to fraction form
    183,828,447/398,293,848 = 398,293,848/x
  3. Step 3: Cross multiply
    183,828,447x = 398,293,848 × 398,293,848
  4. Step 4: Simplify right side
    183,828,447x = 158,637,989,354,647,104
  5. Step 5: Solve for x
    x = 158,637,989,354,647,104/183,828,447
  6. Step 6: Final answer
    x = 862,967,576.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.