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Finding the Third Proportional to 82,827,643.50 and 180,199,564

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Solution

The third proportional to 82,827,643.50 and 180,199,564 is: 392,041,611.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,827,643.50 : 180,199,564 = 180,199,564 : x
  2. Step 2: Convert to fraction form
    82,827,643.50/180,199,564 = 180,199,564/x
  3. Step 3: Cross multiply
    82,827,643.50x = 180,199,564 × 180,199,564
  4. Step 4: Simplify right side
    82,827,643.50x = 32,471,882,865,790,096
  5. Step 5: Solve for x
    x = 32,471,882,865,790,096/82,827,643.50
  6. Step 6: Final answer
    x = 392,041,611.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.