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Finding the Third Proportional to 42,284.44 and 92,938.88

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Solution

The third proportional to 42,284.44 and 92,938.88 is: 204,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,284.44 : 92,938.88 = 92,938.88 : x
  2. Step 2: Convert to fraction form
    42,284.44/92,938.88 = 92,938.88/x
  3. Step 3: Cross multiply
    42,284.44x = 92,938.88 × 92,938.88
  4. Step 4: Simplify right side
    42,284.44x = 8,637,634,486.27
  5. Step 5: Solve for x
    x = 8,637,634,486.27/42,284.44
  6. Step 6: Final answer
    x = 204,274.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.