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Finding the Third Proportional to 42,444.94 and 92,261.06

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Solution

The third proportional to 42,444.94 and 92,261.06 is: 200,544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,444.94 : 92,261.06 = 92,261.06 : x
  2. Step 2: Convert to fraction form
    42,444.94/92,261.06 = 92,261.06/x
  3. Step 3: Cross multiply
    42,444.94x = 92,261.06 × 92,261.06
  4. Step 4: Simplify right side
    42,444.94x = 8,512,103,653.63
  5. Step 5: Solve for x
    x = 8,512,103,653.63/42,444.94
  6. Step 6: Final answer
    x = 200,544.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.