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Finding the Third Proportional to 97,059 and 213,630

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Solution

The third proportional to 97,059 and 213,630 is: 470,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,059 : 213,630 = 213,630 : x
  2. Step 2: Convert to fraction form
    97,059/213,630 = 213,630/x
  3. Step 3: Cross multiply
    97,059x = 213,630 × 213,630
  4. Step 4: Simplify right side
    97,059x = 45,637,776,900
  5. Step 5: Solve for x
    x = 45,637,776,900/97,059
  6. Step 6: Final answer
    x = 470,206.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.