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Finding the Third Proportional to 83,080,169 and 180,789,727.50

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Solution

The third proportional to 83,080,169 and 180,789,727.50 is: 393,414,288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,080,169 : 180,789,727.50 = 180,789,727.50 : x
  2. Step 2: Convert to fraction form
    83,080,169/180,789,727.50 = 180,789,727.50/x
  3. Step 3: Cross multiply
    83,080,169x = 180,789,727.50 × 180,789,727.50
  4. Step 4: Simplify right side
    83,080,169x = 32,684,925,569,524,256
  5. Step 5: Solve for x
    x = 32,684,925,569,524,256/83,080,169
  6. Step 6: Final answer
    x = 393,414,288.43

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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.