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Finding the Third Proportional to 97,888 and 213,536

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Solution

The third proportional to 97,888 and 213,536 is: 465,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,888 : 213,536 = 213,536 : x
  2. Step 2: Convert to fraction form
    97,888/213,536 = 213,536/x
  3. Step 3: Cross multiply
    97,888x = 213,536 × 213,536
  4. Step 4: Simplify right side
    97,888x = 45,597,623,296
  5. Step 5: Solve for x
    x = 45,597,623,296/97,888
  6. Step 6: Final answer
    x = 465,814.23

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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.