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Finding the Third Proportional to 133,121.63 and 201,068.44

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Solution

The third proportional to 133,121.63 and 201,068.44 is: 303,696.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,121.63 : 201,068.44 = 201,068.44 : x
  2. Step 2: Convert to fraction form
    133,121.63/201,068.44 = 201,068.44/x
  3. Step 3: Cross multiply
    133,121.63x = 201,068.44 × 201,068.44
  4. Step 4: Simplify right side
    133,121.63x = 40,428,516,558.69
  5. Step 5: Solve for x
    x = 40,428,516,558.69/133,121.63
  6. Step 6: Final answer
    x = 303,696.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.