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Finding the Third Proportional to 83,638,328 and 174,150,024

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Solution

The third proportional to 83,638,328 and 174,150,024 is: 362,611,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,638,328 : 174,150,024 = 174,150,024 : x
  2. Step 2: Convert to fraction form
    83,638,328/174,150,024 = 174,150,024/x
  3. Step 3: Cross multiply
    83,638,328x = 174,150,024 × 174,150,024
  4. Step 4: Simplify right side
    83,638,328x = 30,328,230,859,200,576
  5. Step 5: Solve for x
    x = 30,328,230,859,200,576/83,638,328
  6. Step 6: Final answer
    x = 362,611,634.93

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.