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Finding the Third Proportional to 106,160.63 and 154,861.88

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Solution

The third proportional to 106,160.63 and 154,861.88 is: 225,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,160.63 : 154,861.88 = 154,861.88 : x
  2. Step 2: Convert to fraction form
    106,160.63/154,861.88 = 154,861.88/x
  3. Step 3: Cross multiply
    106,160.63x = 154,861.88 × 154,861.88
  4. Step 4: Simplify right side
    106,160.63x = 23,982,200,328.52
  5. Step 5: Solve for x
    x = 23,982,200,328.52/106,160.63
  6. Step 6: Final answer
    x = 225,904.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.