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Finding the Third Proportional to 99,576 and 216,540

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Solution

The third proportional to 99,576 and 216,540 is: 470,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,576 : 216,540 = 216,540 : x
  2. Step 2: Convert to fraction form
    99,576/216,540 = 216,540/x
  3. Step 3: Cross multiply
    99,576x = 216,540 × 216,540
  4. Step 4: Simplify right side
    99,576x = 46,889,571,600
  5. Step 5: Solve for x
    x = 46,889,571,600/99,576
  6. Step 6: Final answer
    x = 470,892.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.