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Finding the Third Proportional to 231,107,704 and 470,286,652

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Solution

The third proportional to 231,107,704 and 470,286,652 is: 956,997,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,107,704 : 470,286,652 = 470,286,652 : x
  2. Step 2: Convert to fraction form
    231,107,704/470,286,652 = 470,286,652/x
  3. Step 3: Cross multiply
    231,107,704x = 470,286,652 × 470,286,652
  4. Step 4: Simplify right side
    231,107,704x = 221,169,535,049,369,088
  5. Step 5: Solve for x
    x = 221,169,535,049,369,088/231,107,704
  6. Step 6: Final answer
    x = 956,997,673.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.