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Finding the Third Proportional to 99,044 and 216,802

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Solution

The third proportional to 99,044 and 216,802 is: 474,567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,044 : 216,802 = 216,802 : x
  2. Step 2: Convert to fraction form
    99,044/216,802 = 216,802/x
  3. Step 3: Cross multiply
    99,044x = 216,802 × 216,802
  4. Step 4: Simplify right side
    99,044x = 47,003,107,204
  5. Step 5: Solve for x
    x = 47,003,107,204/99,044
  6. Step 6: Final answer
    x = 474,567.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.