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Finding the Third Proportional to 42,580.69 and 92,215.76

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Solution

The third proportional to 42,580.69 and 92,215.76 is: 199,708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,580.69 : 92,215.76 = 92,215.76 : x
  2. Step 2: Convert to fraction form
    42,580.69/92,215.76 = 92,215.76/x
  3. Step 3: Cross multiply
    42,580.69x = 92,215.76 × 92,215.76
  4. Step 4: Simplify right side
    42,580.69x = 8,503,745,988.93
  5. Step 5: Solve for x
    x = 8,503,745,988.93/42,580.69
  6. Step 6: Final answer
    x = 199,708.99

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