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Finding the Third Proportional to 45,808.50 and 97,179

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Solution

The third proportional to 45,808.50 and 97,179 is: 206,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,808.50 : 97,179 = 97,179 : x
  2. Step 2: Convert to fraction form
    45,808.50/97,179 = 97,179/x
  3. Step 3: Cross multiply
    45,808.50x = 97,179 × 97,179
  4. Step 4: Simplify right side
    45,808.50x = 9,443,758,041
  5. Step 5: Solve for x
    x = 9,443,758,041/45,808.50
  6. Step 6: Final answer
    x = 206,157.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.