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Finding the Third Proportional to 98,584 and 216,848

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Solution

The third proportional to 98,584 and 216,848 is: 476,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,584 : 216,848 = 216,848 : x
  2. Step 2: Convert to fraction form
    98,584/216,848 = 216,848/x
  3. Step 3: Cross multiply
    98,584x = 216,848 × 216,848
  4. Step 4: Simplify right side
    98,584x = 47,023,055,104
  5. Step 5: Solve for x
    x = 47,023,055,104/98,584
  6. Step 6: Final answer
    x = 476,984.65

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