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Finding the Third Proportional to 40,189.13 and 87,296.88

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Solution

The third proportional to 40,189.13 and 87,296.88 is: 189,622.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,189.13 : 87,296.88 = 87,296.88 : x
  2. Step 2: Convert to fraction form
    40,189.13/87,296.88 = 87,296.88/x
  3. Step 3: Cross multiply
    40,189.13x = 87,296.88 × 87,296.88
  4. Step 4: Simplify right side
    40,189.13x = 7,620,744,384.77
  5. Step 5: Solve for x
    x = 7,620,744,384.77/40,189.13
  6. Step 6: Final answer
    x = 189,622.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.