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Finding the Third Proportional to 43,045.31 and 91,301.63

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Solution

The third proportional to 43,045.31 and 91,301.63 is: 193,656.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,045.31 : 91,301.63 = 91,301.63 : x
  2. Step 2: Convert to fraction form
    43,045.31/91,301.63 = 91,301.63/x
  3. Step 3: Cross multiply
    43,045.31x = 91,301.63 × 91,301.63
  4. Step 4: Simplify right side
    43,045.31x = 8,335,986,727.64
  5. Step 5: Solve for x
    x = 8,335,986,727.64/43,045.31
  6. Step 6: Final answer
    x = 193,656.09

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.