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Finding the Third Proportional to 49,407.75 and 108,655.88

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Solution

The third proportional to 49,407.75 and 108,655.88 is: 238,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,407.75 : 108,655.88 = 108,655.88 : x
  2. Step 2: Convert to fraction form
    49,407.75/108,655.88 = 108,655.88/x
  3. Step 3: Cross multiply
    49,407.75x = 108,655.88 × 108,655.88
  4. Step 4: Simplify right side
    49,407.75x = 11,806,099,172.02
  5. Step 5: Solve for x
    x = 11,806,099,172.02/49,407.75
  6. Step 6: Final answer
    x = 238,952.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.