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Finding the Third Proportional to 42,346.55 and 92,074.22

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Solution

The third proportional to 42,346.55 and 92,074.22 is: 200,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,346.55 : 92,074.22 = 92,074.22 : x
  2. Step 2: Convert to fraction form
    42,346.55/92,074.22 = 92,074.22/x
  3. Step 3: Cross multiply
    42,346.55x = 92,074.22 × 92,074.22
  4. Step 4: Simplify right side
    42,346.55x = 8,477,661,758.42
  5. Step 5: Solve for x
    x = 8,477,661,758.42/42,346.55
  6. Step 6: Final answer
    x = 200,197.24

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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.