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Finding the Third Proportional to 50,098.50 and 116,498.25

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Solution

The third proportional to 50,098.50 and 116,498.25 is: 270,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,098.50 : 116,498.25 = 116,498.25 : x
  2. Step 2: Convert to fraction form
    50,098.50/116,498.25 = 116,498.25/x
  3. Step 3: Cross multiply
    50,098.50x = 116,498.25 × 116,498.25
  4. Step 4: Simplify right side
    50,098.50x = 13,571,842,253.06
  5. Step 5: Solve for x
    x = 13,571,842,253.06/50,098.50
  6. Step 6: Final answer
    x = 270,903.17

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.