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Finding the Third Proportional to 104,797.69 and 148,144.69

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Solution

The third proportional to 104,797.69 and 148,144.69 is: 209,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,797.69 : 148,144.69 = 148,144.69 : x
  2. Step 2: Convert to fraction form
    104,797.69/148,144.69 = 148,144.69/x
  3. Step 3: Cross multiply
    104,797.69x = 148,144.69 × 148,144.69
  4. Step 4: Simplify right side
    104,797.69x = 21,946,848,434.47
  5. Step 5: Solve for x
    x = 21,946,848,434.47/104,797.69
  6. Step 6: Final answer
    x = 209,421.11

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.