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Finding the Third Proportional to 212,339,817 and 461,434,807.69

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Solution

The third proportional to 212,339,817 and 461,434,807.69 is: 1,002,742,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,339,817 : 461,434,807.69 = 461,434,807.69 : x
  2. Step 2: Convert to fraction form
    212,339,817/461,434,807.69 = 461,434,807.69/x
  3. Step 3: Cross multiply
    212,339,817x = 461,434,807.69 × 461,434,807.69
  4. Step 4: Simplify right side
    212,339,817x = 212,922,081,745,600,096
  5. Step 5: Solve for x
    x = 212,922,081,745,600,096/212,339,817
  6. Step 6: Final answer
    x = 1,002,742,136.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.