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Finding the Third Proportional to 49,659.49 and 108,603.12

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Solution

The third proportional to 49,659.49 and 108,603.12 is: 237,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,659.49 : 108,603.12 = 108,603.12 : x
  2. Step 2: Convert to fraction form
    49,659.49/108,603.12 = 108,603.12/x
  3. Step 3: Cross multiply
    49,659.49x = 108,603.12 × 108,603.12
  4. Step 4: Simplify right side
    49,659.49x = 11,794,637,062.84
  5. Step 5: Solve for x
    x = 11,794,637,062.84/49,659.49
  6. Step 6: Final answer
    x = 237,510.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.