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Finding the Third Proportional to 42,887.81 and 94,056.19

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Solution

The third proportional to 42,887.81 and 94,056.19 is: 206,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,887.81 : 94,056.19 = 94,056.19 : x
  2. Step 2: Convert to fraction form
    42,887.81/94,056.19 = 94,056.19/x
  3. Step 3: Cross multiply
    42,887.81x = 94,056.19 × 94,056.19
  4. Step 4: Simplify right side
    42,887.81x = 8,846,566,407.04
  5. Step 5: Solve for x
    x = 8,846,566,407.04/42,887.81
  6. Step 6: Final answer
    x = 206,272.27

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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.