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Finding the Third Proportional to 49,734.84 and 101,767.64

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Solution

The third proportional to 49,734.84 and 101,767.64 is: 208,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,734.84 : 101,767.64 = 101,767.64 : x
  2. Step 2: Convert to fraction form
    49,734.84/101,767.64 = 101,767.64/x
  3. Step 3: Cross multiply
    49,734.84x = 101,767.64 × 101,767.64
  4. Step 4: Simplify right side
    49,734.84x = 10,356,652,678.38
  5. Step 5: Solve for x
    x = 10,356,652,678.38/49,734.84
  6. Step 6: Final answer
    x = 208,237.36

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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.