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Finding the Third Proportional to 105,141.09 and 230,637.88

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Solution

The third proportional to 105,141.09 and 230,637.88 is: 505,928.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,141.09 : 230,637.88 = 230,637.88 : x
  2. Step 2: Convert to fraction form
    105,141.09/230,637.88 = 230,637.88/x
  3. Step 3: Cross multiply
    105,141.09x = 230,637.88 × 230,637.88
  4. Step 4: Simplify right side
    105,141.09x = 53,193,829,384.52
  5. Step 5: Solve for x
    x = 53,193,829,384.52/105,141.09
  6. Step 6: Final answer
    x = 505,928.06

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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.