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Finding the Third Proportional to 189,314,678 and 270,535,089

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Solution

The third proportional to 189,314,678 and 270,535,089 is: 386,600,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,314,678 : 270,535,089 = 270,535,089 : x
  2. Step 2: Convert to fraction form
    189,314,678/270,535,089 = 270,535,089/x
  3. Step 3: Cross multiply
    189,314,678x = 270,535,089 × 270,535,089
  4. Step 4: Simplify right side
    189,314,678x = 73,189,234,380,237,920
  5. Step 5: Solve for x
    x = 73,189,234,380,237,920/189,314,678
  6. Step 6: Final answer
    x = 386,600,950.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.