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Finding the Third Proportional to 40,797 and 96,808.50

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Solution

The third proportional to 40,797 and 96,808.50 is: 229,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,797 : 96,808.50 = 96,808.50 : x
  2. Step 2: Convert to fraction form
    40,797/96,808.50 = 96,808.50/x
  3. Step 3: Cross multiply
    40,797x = 96,808.50 × 96,808.50
  4. Step 4: Simplify right side
    40,797x = 9,371,885,672.25
  5. Step 5: Solve for x
    x = 9,371,885,672.25/40,797
  6. Step 6: Final answer
    x = 229,719.97

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.