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Finding the Third Proportional to 103,496.91 and 155,757.09

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Solution

The third proportional to 103,496.91 and 155,757.09 is: 234,405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,496.91 : 155,757.09 = 155,757.09 : x
  2. Step 2: Convert to fraction form
    103,496.91/155,757.09 = 155,757.09/x
  3. Step 3: Cross multiply
    103,496.91x = 155,757.09 × 155,757.09
  4. Step 4: Simplify right side
    103,496.91x = 24,260,272,253.45
  5. Step 5: Solve for x
    x = 24,260,272,253.45/103,496.91
  6. Step 6: Final answer
    x = 234,405.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.