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Finding the Third Proportional to 185,079,614 and 406,474,408.75

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Solution

The third proportional to 185,079,614 and 406,474,408.75 is: 892,704,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,079,614 : 406,474,408.75 = 406,474,408.75 : x
  2. Step 2: Convert to fraction form
    185,079,614/406,474,408.75 = 406,474,408.75/x
  3. Step 3: Cross multiply
    185,079,614x = 406,474,408.75 × 406,474,408.75
  4. Step 4: Simplify right side
    185,079,614x = 165,221,444,968,662,080
  5. Step 5: Solve for x
    x = 165,221,444,968,662,080/185,079,614
  6. Step 6: Final answer
    x = 892,704,719.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.