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Finding the Third Proportional to 43,099,414.88 and 95,764,764.38

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Solution

The third proportional to 43,099,414.88 and 95,764,764.38 is: 212,784,561.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,099,414.88 : 95,764,764.38 = 95,764,764.38 : x
  2. Step 2: Convert to fraction form
    43,099,414.88/95,764,764.38 = 95,764,764.38/x
  3. Step 3: Cross multiply
    43,099,414.88x = 95,764,764.38 × 95,764,764.38
  4. Step 4: Simplify right side
    43,099,414.88x = 9,170,890,095,799,270
  5. Step 5: Solve for x
    x = 9,170,890,095,799,270/43,099,414.88
  6. Step 6: Final answer
    x = 212,784,561.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.