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Finding the Third Proportional to 97,499 and 211,662

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Solution

The third proportional to 97,499 and 211,662 is: 459,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,499 : 211,662 = 211,662 : x
  2. Step 2: Convert to fraction form
    97,499/211,662 = 211,662/x
  3. Step 3: Cross multiply
    97,499x = 211,662 × 211,662
  4. Step 4: Simplify right side
    97,499x = 44,800,802,244
  5. Step 5: Solve for x
    x = 44,800,802,244/97,499
  6. Step 6: Final answer
    x = 459,500.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.