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Finding the Third Proportional to 97,215 and 209,604

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Solution

The third proportional to 97,215 and 209,604 is: 451,924.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,215 : 209,604 = 209,604 : x
  2. Step 2: Convert to fraction form
    97,215/209,604 = 209,604/x
  3. Step 3: Cross multiply
    97,215x = 209,604 × 209,604
  4. Step 4: Simplify right side
    97,215x = 43,933,836,816
  5. Step 5: Solve for x
    x = 43,933,836,816/97,215
  6. Step 6: Final answer
    x = 451,924.46

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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.