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Finding the Third Proportional to 83,080,166.06 and 180,789,721.88

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Solution

The third proportional to 83,080,166.06 and 180,789,721.88 is: 393,414,277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,080,166.06 : 180,789,721.88 = 180,789,721.88 : x
  2. Step 2: Convert to fraction form
    83,080,166.06/180,789,721.88 = 180,789,721.88/x
  3. Step 3: Cross multiply
    83,080,166.06x = 180,789,721.88 × 180,789,721.88
  4. Step 4: Simplify right side
    83,080,166.06x = 32,684,923,535,639,852
  5. Step 5: Solve for x
    x = 32,684,923,535,639,852/83,080,166.06
  6. Step 6: Final answer
    x = 393,414,277.86

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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.