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Finding the Third Proportional to 50,466 and 106,160.25

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Solution

The third proportional to 50,466 and 106,160.25 is: 223,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,466 : 106,160.25 = 106,160.25 : x
  2. Step 2: Convert to fraction form
    50,466/106,160.25 = 106,160.25/x
  3. Step 3: Cross multiply
    50,466x = 106,160.25 × 106,160.25
  4. Step 4: Simplify right side
    50,466x = 11,269,998,680.06
  5. Step 5: Solve for x
    x = 11,269,998,680.06/50,466
  6. Step 6: Final answer
    x = 223,318.64

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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.