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Finding the Third Proportional to 49,182.19 and 105,530.34

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Solution

The third proportional to 49,182.19 and 105,530.34 is: 226,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,182.19 : 105,530.34 = 105,530.34 : x
  2. Step 2: Convert to fraction form
    49,182.19/105,530.34 = 105,530.34/x
  3. Step 3: Cross multiply
    49,182.19x = 105,530.34 × 105,530.34
  4. Step 4: Simplify right side
    49,182.19x = 11,136,653,451.99
  5. Step 5: Solve for x
    x = 11,136,653,451.99/49,182.19
  6. Step 6: Final answer
    x = 226,436.72

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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.