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Finding the Third Proportional to 99,540 and 216,574

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Solution

The third proportional to 99,540 and 216,574 is: 471,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,540 : 216,574 = 216,574 : x
  2. Step 2: Convert to fraction form
    99,540/216,574 = 216,574/x
  3. Step 3: Cross multiply
    99,540x = 216,574 × 216,574
  4. Step 4: Simplify right side
    99,540x = 46,904,297,476
  5. Step 5: Solve for x
    x = 46,904,297,476/99,540
  6. Step 6: Final answer
    x = 471,210.54

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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.