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Finding the Third Proportional to 45,011 and 98,662

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Solution

The third proportional to 45,011 and 98,662 is: 216,262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,011 : 98,662 = 98,662 : x
  2. Step 2: Convert to fraction form
    45,011/98,662 = 98,662/x
  3. Step 3: Cross multiply
    45,011x = 98,662 × 98,662
  4. Step 4: Simplify right side
    45,011x = 9,734,190,244
  5. Step 5: Solve for x
    x = 9,734,190,244/45,011
  6. Step 6: Final answer
    x = 216,262.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.