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Finding the Third Proportional to 97,866 and 215,964

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Solution

The third proportional to 97,866 and 215,964 is: 476,574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,866 : 215,964 = 215,964 : x
  2. Step 2: Convert to fraction form
    97,866/215,964 = 215,964/x
  3. Step 3: Cross multiply
    97,866x = 215,964 × 215,964
  4. Step 4: Simplify right side
    97,866x = 46,640,449,296
  5. Step 5: Solve for x
    x = 46,640,449,296/97,866
  6. Step 6: Final answer
    x = 476,574.59

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.