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Finding the Third Proportional to 49,264.31 and 108,370.13

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Solution

The third proportional to 49,264.31 and 108,370.13 is: 238,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,264.31 : 108,370.13 = 108,370.13 : x
  2. Step 2: Convert to fraction form
    49,264.31/108,370.13 = 108,370.13/x
  3. Step 3: Cross multiply
    49,264.31x = 108,370.13 × 108,370.13
  4. Step 4: Simplify right side
    49,264.31x = 11,744,083,992.52
  5. Step 5: Solve for x
    x = 11,744,083,992.52/49,264.31
  6. Step 6: Final answer
    x = 238,389.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.