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Finding the Third Proportional to 49,733.58 and 101,765.11

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Solution

The third proportional to 49,733.58 and 101,765.11 is: 208,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,733.58 : 101,765.11 = 101,765.11 : x
  2. Step 2: Convert to fraction form
    49,733.58/101,765.11 = 101,765.11/x
  3. Step 3: Cross multiply
    49,733.58x = 101,765.11 × 101,765.11
  4. Step 4: Simplify right side
    49,733.58x = 10,356,137,486.11
  5. Step 5: Solve for x
    x = 10,356,137,486.11/49,733.58
  6. Step 6: Final answer
    x = 208,232.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.