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Finding the Third Proportional to 48,426.19 and 106,197.75

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Solution

The third proportional to 48,426.19 and 106,197.75 is: 232,889.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,426.19 : 106,197.75 = 106,197.75 : x
  2. Step 2: Convert to fraction form
    48,426.19/106,197.75 = 106,197.75/x
  3. Step 3: Cross multiply
    48,426.19x = 106,197.75 × 106,197.75
  4. Step 4: Simplify right side
    48,426.19x = 11,277,962,105.06
  5. Step 5: Solve for x
    x = 11,277,962,105.06/48,426.19
  6. Step 6: Final answer
    x = 232,889.74

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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.