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Finding the Third Proportional to 99,484 and 216,282

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Solution

The third proportional to 99,484 and 216,282 is: 470,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,484 : 216,282 = 216,282 : x
  2. Step 2: Convert to fraction form
    99,484/216,282 = 216,282/x
  3. Step 3: Cross multiply
    99,484x = 216,282 × 216,282
  4. Step 4: Simplify right side
    99,484x = 46,777,903,524
  5. Step 5: Solve for x
    x = 46,777,903,524/99,484
  6. Step 6: Final answer
    x = 470,205.29

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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.