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Finding the Third Proportional to 99,403.50 and 213,003

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Solution

The third proportional to 99,403.50 and 213,003 is: 456,425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,403.50 : 213,003 = 213,003 : x
  2. Step 2: Convert to fraction form
    99,403.50/213,003 = 213,003/x
  3. Step 3: Cross multiply
    99,403.50x = 213,003 × 213,003
  4. Step 4: Simplify right side
    99,403.50x = 45,370,278,009
  5. Step 5: Solve for x
    x = 45,370,278,009/99,403.50
  6. Step 6: Final answer
    x = 456,425.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.