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Finding the Third Proportional to 42,310.90 and 92,925.14

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Solution

The third proportional to 42,310.90 and 92,925.14 is: 204,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,310.90 : 92,925.14 = 92,925.14 : x
  2. Step 2: Convert to fraction form
    42,310.90/92,925.14 = 92,925.14/x
  3. Step 3: Cross multiply
    42,310.90x = 92,925.14 × 92,925.14
  4. Step 4: Simplify right side
    42,310.90x = 8,635,081,760.18
  5. Step 5: Solve for x
    x = 8,635,081,760.18/42,310.90
  6. Step 6: Final answer
    x = 204,086.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.