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Finding the Third Proportional to 103,310.34 and 159,640.88

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Solution

The third proportional to 103,310.34 and 159,640.88 is: 246,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,310.34 : 159,640.88 = 159,640.88 : x
  2. Step 2: Convert to fraction form
    103,310.34/159,640.88 = 159,640.88/x
  3. Step 3: Cross multiply
    103,310.34x = 159,640.88 × 159,640.88
  4. Step 4: Simplify right side
    103,310.34x = 25,485,208,970.77
  5. Step 5: Solve for x
    x = 25,485,208,970.77/103,310.34
  6. Step 6: Final answer
    x = 246,685.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.