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Finding the Third Proportional to 49,298.63 and 107,800.88

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Solution

The third proportional to 49,298.63 and 107,800.88 is: 235,727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,298.63 : 107,800.88 = 107,800.88 : x
  2. Step 2: Convert to fraction form
    49,298.63/107,800.88 = 107,800.88/x
  3. Step 3: Cross multiply
    49,298.63x = 107,800.88 × 107,800.88
  4. Step 4: Simplify right side
    49,298.63x = 11,621,028,650.77
  5. Step 5: Solve for x
    x = 11,621,028,650.77/49,298.63
  6. Step 6: Final answer
    x = 235,727.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.