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Finding the Third Proportional to 99,030 and 213,841

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Solution

The third proportional to 99,030 and 213,841 is: 461,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,030 : 213,841 = 213,841 : x
  2. Step 2: Convert to fraction form
    99,030/213,841 = 213,841/x
  3. Step 3: Cross multiply
    99,030x = 213,841 × 213,841
  4. Step 4: Simplify right side
    99,030x = 45,727,973,281
  5. Step 5: Solve for x
    x = 45,727,973,281/99,030
  6. Step 6: Final answer
    x = 461,758.79

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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.