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Finding the Third Proportional to 45,211 and 98,459

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Solution

The third proportional to 45,211 and 98,459 is: 214,420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,211 : 98,459 = 98,459 : x
  2. Step 2: Convert to fraction form
    45,211/98,459 = 98,459/x
  3. Step 3: Cross multiply
    45,211x = 98,459 × 98,459
  4. Step 4: Simplify right side
    45,211x = 9,694,174,681
  5. Step 5: Solve for x
    x = 9,694,174,681/45,211
  6. Step 6: Final answer
    x = 214,420.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.