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Finding the Third Proportional to 71,442.42 and 155,196.84

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Solution

The third proportional to 71,442.42 and 155,196.84 is: 337,139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,442.42 : 155,196.84 = 155,196.84 : x
  2. Step 2: Convert to fraction form
    71,442.42/155,196.84 = 155,196.84/x
  3. Step 3: Cross multiply
    71,442.42x = 155,196.84 × 155,196.84
  4. Step 4: Simplify right side
    71,442.42x = 24,086,060,309.96
  5. Step 5: Solve for x
    x = 24,086,060,309.96/71,442.42
  6. Step 6: Final answer
    x = 337,139.47

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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.