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Finding the Third Proportional to 97,611 and 213,123

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Solution

The third proportional to 97,611 and 213,123 is: 465,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,611 : 213,123 = 213,123 : x
  2. Step 2: Convert to fraction form
    97,611/213,123 = 213,123/x
  3. Step 3: Cross multiply
    97,611x = 213,123 × 213,123
  4. Step 4: Simplify right side
    97,611x = 45,421,413,129
  5. Step 5: Solve for x
    x = 45,421,413,129/97,611
  6. Step 6: Final answer
    x = 465,330.89

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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.