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Finding the Third Proportional to 106,800.19 and 233,549.44

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Solution

The third proportional to 106,800.19 and 233,549.44 is: 510,723.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,800.19 : 233,549.44 = 233,549.44 : x
  2. Step 2: Convert to fraction form
    106,800.19/233,549.44 = 233,549.44/x
  3. Step 3: Cross multiply
    106,800.19x = 233,549.44 × 233,549.44
  4. Step 4: Simplify right side
    106,800.19x = 54,545,339,756.57
  5. Step 5: Solve for x
    x = 54,545,339,756.57/106,800.19
  6. Step 6: Final answer
    x = 510,723.26

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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.