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Finding the Third Proportional to 97,281 and 213,015

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Solution

The third proportional to 97,281 and 213,015 is: 466,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,281 : 213,015 = 213,015 : x
  2. Step 2: Convert to fraction form
    97,281/213,015 = 213,015/x
  3. Step 3: Cross multiply
    97,281x = 213,015 × 213,015
  4. Step 4: Simplify right side
    97,281x = 45,375,390,225
  5. Step 5: Solve for x
    x = 45,375,390,225/97,281
  6. Step 6: Final answer
    x = 466,436.31

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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.