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Finding the Third Proportional to 49,390.88 and 106,678.97

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Solution

The third proportional to 49,390.88 and 106,678.97 is: 230,415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,390.88 : 106,678.97 = 106,678.97 : x
  2. Step 2: Convert to fraction form
    49,390.88/106,678.97 = 106,678.97/x
  3. Step 3: Cross multiply
    49,390.88x = 106,678.97 × 106,678.97
  4. Step 4: Simplify right side
    49,390.88x = 11,380,402,373.56
  5. Step 5: Solve for x
    x = 11,380,402,373.56/49,390.88
  6. Step 6: Final answer
    x = 230,415.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.