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Finding the Third Proportional to 105,796.13 and 155,311.17

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Solution

The third proportional to 105,796.13 and 155,311.17 is: 228,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,796.13 : 155,311.17 = 155,311.17 : x
  2. Step 2: Convert to fraction form
    105,796.13/155,311.17 = 155,311.17/x
  3. Step 3: Cross multiply
    105,796.13x = 155,311.17 × 155,311.17
  4. Step 4: Simplify right side
    105,796.13x = 24,121,560,109.19
  5. Step 5: Solve for x
    x = 24,121,560,109.19/105,796.13
  6. Step 6: Final answer
    x = 228,000.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.