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Finding the Third Proportional to 97,614 and 213,924

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Solution

The third proportional to 97,614 and 213,924 is: 468,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,614 : 213,924 = 213,924 : x
  2. Step 2: Convert to fraction form
    97,614/213,924 = 213,924/x
  3. Step 3: Cross multiply
    97,614x = 213,924 × 213,924
  4. Step 4: Simplify right side
    97,614x = 45,763,477,776
  5. Step 5: Solve for x
    x = 45,763,477,776/97,614
  6. Step 6: Final answer
    x = 468,820.84

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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.