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Finding the Third Proportional to 116,544,512 and 174,773,970

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Solution

The third proportional to 116,544,512 and 174,773,970 is: 262,096,773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,544,512 : 174,773,970 = 174,773,970 : x
  2. Step 2: Convert to fraction form
    116,544,512/174,773,970 = 174,773,970/x
  3. Step 3: Cross multiply
    116,544,512x = 174,773,970 × 174,773,970
  4. Step 4: Simplify right side
    116,544,512x = 30,545,940,589,560,900
  5. Step 5: Solve for x
    x = 30,545,940,589,560,900/116,544,512
  6. Step 6: Final answer
    x = 262,096,773.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.