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Finding the Third Proportional to 43,646.25 and 93,016.50

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Solution

The third proportional to 43,646.25 and 93,016.50 is: 198,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,646.25 : 93,016.50 = 93,016.50 : x
  2. Step 2: Convert to fraction form
    43,646.25/93,016.50 = 93,016.50/x
  3. Step 3: Cross multiply
    43,646.25x = 93,016.50 × 93,016.50
  4. Step 4: Simplify right side
    43,646.25x = 8,652,069,272.25
  5. Step 5: Solve for x
    x = 8,652,069,272.25/43,646.25
  6. Step 6: Final answer
    x = 198,231.68

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.