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Finding the Third Proportional to 49,416.50 and 106,337.75

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Solution

The third proportional to 49,416.50 and 106,337.75 is: 228,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,416.50 : 106,337.75 = 106,337.75 : x
  2. Step 2: Convert to fraction form
    49,416.50/106,337.75 = 106,337.75/x
  3. Step 3: Cross multiply
    49,416.50x = 106,337.75 × 106,337.75
  4. Step 4: Simplify right side
    49,416.50x = 11,307,717,075.06
  5. Step 5: Solve for x
    x = 11,307,717,075.06/49,416.50
  6. Step 6: Final answer
    x = 228,824.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.