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Finding the Third Proportional to 83,928,324 and 180,611,231

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Solution

The third proportional to 83,928,324 and 180,611,231 is: 388,669,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,928,324 : 180,611,231 = 180,611,231 : x
  2. Step 2: Convert to fraction form
    83,928,324/180,611,231 = 180,611,231/x
  3. Step 3: Cross multiply
    83,928,324x = 180,611,231 × 180,611,231
  4. Step 4: Simplify right side
    83,928,324x = 32,620,416,763,335,360
  5. Step 5: Solve for x
    x = 32,620,416,763,335,360/83,928,324
  6. Step 6: Final answer
    x = 388,669,941.31

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Why These Related Problems?

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