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Finding the Third Proportional to 42,446.25 and 88,381.13

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Solution

The third proportional to 42,446.25 and 88,381.13 is: 184,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,446.25 : 88,381.13 = 88,381.13 : x
  2. Step 2: Convert to fraction form
    42,446.25/88,381.13 = 88,381.13/x
  3. Step 3: Cross multiply
    42,446.25x = 88,381.13 × 88,381.13
  4. Step 4: Simplify right side
    42,446.25x = 7,811,223,256.27
  5. Step 5: Solve for x
    x = 7,811,223,256.27/42,446.25
  6. Step 6: Final answer
    x = 184,026.23

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.