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Finding the Third Proportional to 105,616.63 and 234,846.94

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Solution

The third proportional to 105,616.63 and 234,846.94 is: 522,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,616.63 : 234,846.94 = 234,846.94 : x
  2. Step 2: Convert to fraction form
    105,616.63/234,846.94 = 234,846.94/x
  3. Step 3: Cross multiply
    105,616.63x = 234,846.94 × 234,846.94
  4. Step 4: Simplify right side
    105,616.63x = 55,153,084,053.13
  5. Step 5: Solve for x
    x = 55,153,084,053.13/105,616.63
  6. Step 6: Final answer
    x = 522,200.78

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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.