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Finding the Third Proportional to 49,322.25 and 107,023.50

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Solution

The third proportional to 49,322.25 and 107,023.50 is: 232,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,322.25 : 107,023.50 = 107,023.50 : x
  2. Step 2: Convert to fraction form
    49,322.25/107,023.50 = 107,023.50/x
  3. Step 3: Cross multiply
    49,322.25x = 107,023.50 × 107,023.50
  4. Step 4: Simplify right side
    49,322.25x = 11,454,029,552.25
  5. Step 5: Solve for x
    x = 11,454,029,552.25/49,322.25
  6. Step 6: Final answer
    x = 232,228.45

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