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Finding the Third Proportional to 83,928,323 and 180,611,229

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Solution

The third proportional to 83,928,323 and 180,611,229 is: 388,669,937.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,928,323 : 180,611,229 = 180,611,229 : x
  2. Step 2: Convert to fraction form
    83,928,323/180,611,229 = 180,611,229/x
  3. Step 3: Cross multiply
    83,928,323x = 180,611,229 × 180,611,229
  4. Step 4: Simplify right side
    83,928,323x = 32,620,416,040,890,440
  5. Step 5: Solve for x
    x = 32,620,416,040,890,440/83,928,323
  6. Step 6: Final answer
    x = 388,669,937.33

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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.