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Finding the Third Proportional to 49,110.19 and 105,388.88

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Solution

The third proportional to 49,110.19 and 105,388.88 is: 226,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,110.19 : 105,388.88 = 105,388.88 : x
  2. Step 2: Convert to fraction form
    49,110.19/105,388.88 = 105,388.88/x
  3. Step 3: Cross multiply
    49,110.19x = 105,388.88 × 105,388.88
  4. Step 4: Simplify right side
    49,110.19x = 11,106,814,973.77
  5. Step 5: Solve for x
    x = 11,106,814,973.77/49,110.19
  6. Step 6: Final answer
    x = 226,161.12

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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.