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Finding the Third Proportional to 97,932 and 211,412

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Solution

The third proportional to 97,932 and 211,412 is: 456,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,932 : 211,412 = 211,412 : x
  2. Step 2: Convert to fraction form
    97,932/211,412 = 211,412/x
  3. Step 3: Cross multiply
    97,932x = 211,412 × 211,412
  4. Step 4: Simplify right side
    97,932x = 44,695,033,744
  5. Step 5: Solve for x
    x = 44,695,033,744/97,932
  6. Step 6: Final answer
    x = 456,388.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.