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Finding the Third Proportional to 42,166.69 and 92,008.69

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Solution

The third proportional to 42,166.69 and 92,008.69 is: 200,765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,166.69 : 92,008.69 = 92,008.69 : x
  2. Step 2: Convert to fraction form
    42,166.69/92,008.69 = 92,008.69/x
  3. Step 3: Cross multiply
    42,166.69x = 92,008.69 × 92,008.69
  4. Step 4: Simplify right side
    42,166.69x = 8,465,598,575.47
  5. Step 5: Solve for x
    x = 8,465,598,575.47/42,166.69
  6. Step 6: Final answer
    x = 200,765.08

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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.