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Finding the Third Proportional to 49,898.53 and 108,104.63

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Solution

The third proportional to 49,898.53 and 108,104.63 is: 234,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,898.53 : 108,104.63 = 108,104.63 : x
  2. Step 2: Convert to fraction form
    49,898.53/108,104.63 = 108,104.63/x
  3. Step 3: Cross multiply
    49,898.53x = 108,104.63 × 108,104.63
  4. Step 4: Simplify right side
    49,898.53x = 11,686,609,946.39
  5. Step 5: Solve for x
    x = 11,686,609,946.39/49,898.53
  6. Step 6: Final answer
    x = 234,207.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.