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Finding the Third Proportional to 107,101.63 and 232,640.38

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Solution

The third proportional to 107,101.63 and 232,640.38 is: 505,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,101.63 : 232,640.38 = 232,640.38 : x
  2. Step 2: Convert to fraction form
    107,101.63/232,640.38 = 232,640.38/x
  3. Step 3: Cross multiply
    107,101.63x = 232,640.38 × 232,640.38
  4. Step 4: Simplify right side
    107,101.63x = 54,121,544,080.14
  5. Step 5: Solve for x
    x = 54,121,544,080.14/107,101.63
  6. Step 6: Final answer
    x = 505,328.88

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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.