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Finding the Third Proportional to 49,285.97 and 106,875.07

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Solution

The third proportional to 49,285.97 and 106,875.07 is: 231,755.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,285.97 : 106,875.07 = 106,875.07 : x
  2. Step 2: Convert to fraction form
    49,285.97/106,875.07 = 106,875.07/x
  3. Step 3: Cross multiply
    49,285.97x = 106,875.07 × 106,875.07
  4. Step 4: Simplify right side
    49,285.97x = 11,422,280,654.30
  5. Step 5: Solve for x
    x = 11,422,280,654.30/49,285.97
  6. Step 6: Final answer
    x = 231,755.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.