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Finding the Third Proportional to 99,705 and 216,906

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Solution

The third proportional to 99,705 and 216,906 is: 471,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,705 : 216,906 = 216,906 : x
  2. Step 2: Convert to fraction form
    99,705/216,906 = 216,906/x
  3. Step 3: Cross multiply
    99,705x = 216,906 × 216,906
  4. Step 4: Simplify right side
    99,705x = 47,048,212,836
  5. Step 5: Solve for x
    x = 47,048,212,836/99,705
  6. Step 6: Final answer
    x = 471,874.16

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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.