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Finding the Third Proportional to 98,533 and 216,749

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Solution

The third proportional to 98,533 and 216,749 is: 476,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,533 : 216,749 = 216,749 : x
  2. Step 2: Convert to fraction form
    98,533/216,749 = 216,749/x
  3. Step 3: Cross multiply
    98,533x = 216,749 × 216,749
  4. Step 4: Simplify right side
    98,533x = 46,980,129,001
  5. Step 5: Solve for x
    x = 46,980,129,001/98,533
  6. Step 6: Final answer
    x = 476,795.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.