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Finding the Third Proportional to 97,488 and 213,594

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Solution

The third proportional to 97,488 and 213,594 is: 467,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,488 : 213,594 = 213,594 : x
  2. Step 2: Convert to fraction form
    97,488/213,594 = 213,594/x
  3. Step 3: Cross multiply
    97,488x = 213,594 × 213,594
  4. Step 4: Simplify right side
    97,488x = 45,622,396,836
  5. Step 5: Solve for x
    x = 45,622,396,836/97,488
  6. Step 6: Final answer
    x = 467,979.62

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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.