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Finding the Third Proportional to 50,463 and 106,153.88

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Solution

The third proportional to 50,463 and 106,153.88 is: 223,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,463 : 106,153.88 = 106,153.88 : x
  2. Step 2: Convert to fraction form
    50,463/106,153.88 = 106,153.88/x
  3. Step 3: Cross multiply
    50,463x = 106,153.88 × 106,153.88
  4. Step 4: Simplify right side
    50,463x = 11,268,645,177.52
  5. Step 5: Solve for x
    x = 11,268,645,177.52/50,463
  6. Step 6: Final answer
    x = 223,305.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.