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Finding the Third Proportional to 83,080,171 and 180,789,731

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Solution

The third proportional to 83,080,171 and 180,789,731 is: 393,414,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,080,171 : 180,789,731 = 180,789,731 : x
  2. Step 2: Convert to fraction form
    83,080,171/180,789,731 = 180,789,731/x
  3. Step 3: Cross multiply
    83,080,171x = 180,789,731 × 180,789,731
  4. Step 4: Simplify right side
    83,080,171x = 32,684,926,835,052,360
  5. Step 5: Solve for x
    x = 32,684,926,835,052,360/83,080,171
  6. Step 6: Final answer
    x = 393,414,294.19

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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.