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Finding the Third Proportional to 42,308.44 and 92,206.69

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Solution

The third proportional to 42,308.44 and 92,206.69 is: 200,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,308.44 : 92,206.69 = 92,206.69 : x
  2. Step 2: Convert to fraction form
    42,308.44/92,206.69 = 92,206.69/x
  3. Step 3: Cross multiply
    42,308.44x = 92,206.69 × 92,206.69
  4. Step 4: Simplify right side
    42,308.44x = 8,502,073,219.72
  5. Step 5: Solve for x
    x = 8,502,073,219.72/42,308.44
  6. Step 6: Final answer
    x = 200,954.55

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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.