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Finding the Third Proportional to 106,901.38 and 230,752

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Solution

The third proportional to 106,901.38 and 230,752 is: 498,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,901.38 : 230,752 = 230,752 : x
  2. Step 2: Convert to fraction form
    106,901.38/230,752 = 230,752/x
  3. Step 3: Cross multiply
    106,901.38x = 230,752 × 230,752
  4. Step 4: Simplify right side
    106,901.38x = 53,246,485,504
  5. Step 5: Solve for x
    x = 53,246,485,504/106,901.38
  6. Step 6: Final answer
    x = 498,089.81

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