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Finding the Third Proportional to 49,875.75 and 107,664.19

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Solution

The third proportional to 49,875.75 and 107,664.19 is: 232,409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,875.75 : 107,664.19 = 107,664.19 : x
  2. Step 2: Convert to fraction form
    49,875.75/107,664.19 = 107,664.19/x
  3. Step 3: Cross multiply
    49,875.75x = 107,664.19 × 107,664.19
  4. Step 4: Simplify right side
    49,875.75x = 11,591,577,270.04
  5. Step 5: Solve for x
    x = 11,591,577,270.04/49,875.75
  6. Step 6: Final answer
    x = 232,409.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.