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Finding the Third Proportional to 116,650.13 and 164,381.63

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Solution

The third proportional to 116,650.13 and 164,381.63 is: 231,644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,650.13 : 164,381.63 = 164,381.63 : x
  2. Step 2: Convert to fraction form
    116,650.13/164,381.63 = 164,381.63/x
  3. Step 3: Cross multiply
    116,650.13x = 164,381.63 × 164,381.63
  4. Step 4: Simplify right side
    116,650.13x = 27,021,318,637.64
  5. Step 5: Solve for x
    x = 27,021,318,637.64/116,650.13
  6. Step 6: Final answer
    x = 231,644.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.