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Finding the Third Proportional to 43,468.78 and 92,678.72

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Solution

The third proportional to 43,468.78 and 92,678.72 is: 197,598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,468.78 : 92,678.72 = 92,678.72 : x
  2. Step 2: Convert to fraction form
    43,468.78/92,678.72 = 92,678.72/x
  3. Step 3: Cross multiply
    43,468.78x = 92,678.72 × 92,678.72
  4. Step 4: Simplify right side
    43,468.78x = 8,589,344,909.14
  5. Step 5: Solve for x
    x = 8,589,344,909.14/43,468.78
  6. Step 6: Final answer
    x = 197,598.02

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.