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Finding the Third Proportional to 45,805.50 and 99,015

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Solution

The third proportional to 45,805.50 and 99,015 is: 214,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,805.50 : 99,015 = 99,015 : x
  2. Step 2: Convert to fraction form
    45,805.50/99,015 = 99,015/x
  3. Step 3: Cross multiply
    45,805.50x = 99,015 × 99,015
  4. Step 4: Simplify right side
    45,805.50x = 9,803,970,225
  5. Step 5: Solve for x
    x = 9,803,970,225/45,805.50
  6. Step 6: Final answer
    x = 214,034.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.