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Finding the Third Proportional to 98,569 and 215,796

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Solution

The third proportional to 98,569 and 215,796 is: 472,439.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,569 : 215,796 = 215,796 : x
  2. Step 2: Convert to fraction form
    98,569/215,796 = 215,796/x
  3. Step 3: Cross multiply
    98,569x = 215,796 × 215,796
  4. Step 4: Simplify right side
    98,569x = 46,567,913,616
  5. Step 5: Solve for x
    x = 46,567,913,616/98,569
  6. Step 6: Final answer
    x = 472,439.75

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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.