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Finding the Third Proportional to 99,533 and 216,562

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Solution

The third proportional to 99,533 and 216,562 is: 471,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,533 : 216,562 = 216,562 : x
  2. Step 2: Convert to fraction form
    99,533/216,562 = 216,562/x
  3. Step 3: Cross multiply
    99,533x = 216,562 × 216,562
  4. Step 4: Simplify right side
    99,533x = 46,899,099,844
  5. Step 5: Solve for x
    x = 46,899,099,844/99,533
  6. Step 6: Final answer
    x = 471,191.46

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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.