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Finding the Third Proportional to 99,023 and 213,831

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Solution

The third proportional to 99,023 and 213,831 is: 461,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,023 : 213,831 = 213,831 : x
  2. Step 2: Convert to fraction form
    99,023/213,831 = 213,831/x
  3. Step 3: Cross multiply
    99,023x = 213,831 × 213,831
  4. Step 4: Simplify right side
    99,023x = 45,723,696,561
  5. Step 5: Solve for x
    x = 45,723,696,561/99,023
  6. Step 6: Final answer
    x = 461,748.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.