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Finding the Third Proportional to 40,398.75 and 94,354.88

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Solution

The third proportional to 40,398.75 and 94,354.88 is: 220,374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,398.75 : 94,354.88 = 94,354.88 : x
  2. Step 2: Convert to fraction form
    40,398.75/94,354.88 = 94,354.88/x
  3. Step 3: Cross multiply
    40,398.75x = 94,354.88 × 94,354.88
  4. Step 4: Simplify right side
    40,398.75x = 8,902,842,436.27
  5. Step 5: Solve for x
    x = 8,902,842,436.27/40,398.75
  6. Step 6: Final answer
    x = 220,374.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.