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Finding the Third Proportional to 105,090.75 and 230,382.56

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Solution

The third proportional to 105,090.75 and 230,382.56 is: 505,050.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,090.75 : 230,382.56 = 230,382.56 : x
  2. Step 2: Convert to fraction form
    105,090.75/230,382.56 = 230,382.56/x
  3. Step 3: Cross multiply
    105,090.75x = 230,382.56 × 230,382.56
  4. Step 4: Simplify right side
    105,090.75x = 53,076,125,104.07
  5. Step 5: Solve for x
    x = 53,076,125,104.07/105,090.75
  6. Step 6: Final answer
    x = 505,050.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.