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Finding the Third Proportional to 106,599.23 and 233,227.55

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Solution

The third proportional to 106,599.23 and 233,227.55 is: 510,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,599.23 : 233,227.55 = 233,227.55 : x
  2. Step 2: Convert to fraction form
    106,599.23/233,227.55 = 233,227.55/x
  3. Step 3: Cross multiply
    106,599.23x = 233,227.55 × 233,227.55
  4. Step 4: Simplify right side
    106,599.23x = 54,395,088,621.33
  5. Step 5: Solve for x
    x = 54,395,088,621.33/106,599.23
  6. Step 6: Final answer
    x = 510,276.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.