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Finding the Third Proportional to 105,640.88 and 234,896.63

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Solution

The third proportional to 105,640.88 and 234,896.63 is: 522,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,640.88 : 234,896.63 = 234,896.63 : x
  2. Step 2: Convert to fraction form
    105,640.88/234,896.63 = 234,896.63/x
  3. Step 3: Cross multiply
    105,640.88x = 234,896.63 × 234,896.63
  4. Step 4: Simplify right side
    105,640.88x = 55,176,424,436.39
  5. Step 5: Solve for x
    x = 55,176,424,436.39/105,640.88
  6. Step 6: Final answer
    x = 522,301.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.