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Finding the Third Proportional to 42,364.88 and 92,264.81

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Solution

The third proportional to 42,364.88 and 92,264.81 is: 200,939.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,364.88 : 92,264.81 = 92,264.81 : x
  2. Step 2: Convert to fraction form
    42,364.88/92,264.81 = 92,264.81/x
  3. Step 3: Cross multiply
    42,364.88x = 92,264.81 × 92,264.81
  4. Step 4: Simplify right side
    42,364.88x = 8,512,795,625.66
  5. Step 5: Solve for x
    x = 8,512,795,625.66/42,364.88
  6. Step 6: Final answer
    x = 200,939.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.