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Finding the Third Proportional to 43,823.53 and 95,848.31

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Solution

The third proportional to 43,823.53 and 95,848.31 is: 209,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,823.53 : 95,848.31 = 95,848.31 : x
  2. Step 2: Convert to fraction form
    43,823.53/95,848.31 = 95,848.31/x
  3. Step 3: Cross multiply
    43,823.53x = 95,848.31 × 95,848.31
  4. Step 4: Simplify right side
    43,823.53x = 9,186,899,009.10
  5. Step 5: Solve for x
    x = 9,186,899,009.10/43,823.53
  6. Step 6: Final answer
    x = 209,633.93

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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.