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Finding the Third Proportional to 99,036 and 213,853

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Solution

The third proportional to 99,036 and 213,853 is: 461,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,036 : 213,853 = 213,853 : x
  2. Step 2: Convert to fraction form
    99,036/213,853 = 213,853/x
  3. Step 3: Cross multiply
    99,036x = 213,853 × 213,853
  4. Step 4: Simplify right side
    99,036x = 45,733,105,609
  5. Step 5: Solve for x
    x = 45,733,105,609/99,036
  6. Step 6: Final answer
    x = 461,782.64

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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.