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Finding the Third Proportional to 98,822 and 219,746

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Solution

The third proportional to 98,822 and 219,746 is: 488,639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,822 : 219,746 = 219,746 : x
  2. Step 2: Convert to fraction form
    98,822/219,746 = 219,746/x
  3. Step 3: Cross multiply
    98,822x = 219,746 × 219,746
  4. Step 4: Simplify right side
    98,822x = 48,288,304,516
  5. Step 5: Solve for x
    x = 48,288,304,516/98,822
  6. Step 6: Final answer
    x = 488,639.22

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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.