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Finding the Third Proportional to 108,116 and 221,569

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Solution

The third proportional to 108,116 and 221,569 is: 454,075.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,116 : 221,569 = 221,569 : x
  2. Step 2: Convert to fraction form
    108,116/221,569 = 221,569/x
  3. Step 3: Cross multiply
    108,116x = 221,569 × 221,569
  4. Step 4: Simplify right side
    108,116x = 49,092,821,761
  5. Step 5: Solve for x
    x = 49,092,821,761/108,116
  6. Step 6: Final answer
    x = 454,075.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.