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Finding the Third Proportional to 83,639,440 and 180,094,112

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Solution

The third proportional to 83,639,440 and 180,094,112 is: 387,782,237.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,639,440 : 180,094,112 = 180,094,112 : x
  2. Step 2: Convert to fraction form
    83,639,440/180,094,112 = 180,094,112/x
  3. Step 3: Cross multiply
    83,639,440x = 180,094,112 × 180,094,112
  4. Step 4: Simplify right side
    83,639,440x = 32,433,889,177,068,544
  5. Step 5: Solve for x
    x = 32,433,889,177,068,544/83,639,440
  6. Step 6: Final answer
    x = 387,782,237.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.