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Finding the Third Proportional to 97,460 and 213,533

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Solution

The third proportional to 97,460 and 213,533 is: 467,846.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,460 : 213,533 = 213,533 : x
  2. Step 2: Convert to fraction form
    97,460/213,533 = 213,533/x
  3. Step 3: Cross multiply
    97,460x = 213,533 × 213,533
  4. Step 4: Simplify right side
    97,460x = 45,596,342,089
  5. Step 5: Solve for x
    x = 45,596,342,089/97,460
  6. Step 6: Final answer
    x = 467,846.73

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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.