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Finding the Third Proportional to 98,468 and 214,759

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Solution

The third proportional to 98,468 and 214,759 is: 468,390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,468 : 214,759 = 214,759 : x
  2. Step 2: Convert to fraction form
    98,468/214,759 = 214,759/x
  3. Step 3: Cross multiply
    98,468x = 214,759 × 214,759
  4. Step 4: Simplify right side
    98,468x = 46,121,428,081
  5. Step 5: Solve for x
    x = 46,121,428,081/98,468
  6. Step 6: Final answer
    x = 468,390.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.