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Finding the Third Proportional to 43,099,416 and 95,764,768

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Solution

The third proportional to 43,099,416 and 95,764,768 is: 212,784,572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,099,416 : 95,764,768 = 95,764,768 : x
  2. Step 2: Convert to fraction form
    43,099,416/95,764,768 = 95,764,768/x
  3. Step 3: Cross multiply
    43,099,416x = 95,764,768 × 95,764,768
  4. Step 4: Simplify right side
    43,099,416x = 9,170,890,790,093,824
  5. Step 5: Solve for x
    x = 9,170,890,790,093,824/43,099,416
  6. Step 6: Final answer
    x = 212,784,572.07

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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.