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Finding the Third Proportional to 48,861 and 106,465.50

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Solution

The third proportional to 48,861 and 106,465.50 is: 231,982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,861 : 106,465.50 = 106,465.50 : x
  2. Step 2: Convert to fraction form
    48,861/106,465.50 = 106,465.50/x
  3. Step 3: Cross multiply
    48,861x = 106,465.50 × 106,465.50
  4. Step 4: Simplify right side
    48,861x = 11,334,902,690.25
  5. Step 5: Solve for x
    x = 11,334,902,690.25/48,861
  6. Step 6: Final answer
    x = 231,982.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.