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Finding the Third Proportional to 97,002 and 213,444

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Solution

The third proportional to 97,002 and 213,444 is: 469,663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,002 : 213,444 = 213,444 : x
  2. Step 2: Convert to fraction form
    97,002/213,444 = 213,444/x
  3. Step 3: Cross multiply
    97,002x = 213,444 × 213,444
  4. Step 4: Simplify right side
    97,002x = 45,558,341,136
  5. Step 5: Solve for x
    x = 45,558,341,136/97,002
  6. Step 6: Final answer
    x = 469,663.94

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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.