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Finding the Third Proportional to 98,811 and 219,729

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Solution

The third proportional to 98,811 and 219,729 is: 488,618.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,811 : 219,729 = 219,729 : x
  2. Step 2: Convert to fraction form
    98,811/219,729 = 219,729/x
  3. Step 3: Cross multiply
    98,811x = 219,729 × 219,729
  4. Step 4: Simplify right side
    98,811x = 48,280,833,441
  5. Step 5: Solve for x
    x = 48,280,833,441/98,811
  6. Step 6: Final answer
    x = 488,618.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.