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Finding the Third Proportional to 83,928,324 and 180,611,232

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Solution

The third proportional to 83,928,324 and 180,611,232 is: 388,669,945.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,928,324 : 180,611,232 = 180,611,232 : x
  2. Step 2: Convert to fraction form
    83,928,324/180,611,232 = 180,611,232/x
  3. Step 3: Cross multiply
    83,928,324x = 180,611,232 × 180,611,232
  4. Step 4: Simplify right side
    83,928,324x = 32,620,417,124,557,824
  5. Step 5: Solve for x
    x = 32,620,417,124,557,824/83,928,324
  6. Step 6: Final answer
    x = 388,669,945.61

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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.