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Finding the Third Proportional to 43,099,414 and 95,764,764

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Solution

The third proportional to 43,099,414 and 95,764,764 is: 212,784,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,099,414 : 95,764,764 = 95,764,764 : x
  2. Step 2: Convert to fraction form
    43,099,414/95,764,764 = 95,764,764/x
  3. Step 3: Cross multiply
    43,099,414x = 95,764,764 × 95,764,764
  4. Step 4: Simplify right side
    43,099,414x = 9,170,890,023,975,696
  5. Step 5: Solve for x
    x = 9,170,890,023,975,696/43,099,414
  6. Step 6: Final answer
    x = 212,784,564.17

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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.