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Finding the Third Proportional to 96,699 and 210,003

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Solution

The third proportional to 96,699 and 210,003 is: 456,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,699 : 210,003 = 210,003 : x
  2. Step 2: Convert to fraction form
    96,699/210,003 = 210,003/x
  3. Step 3: Cross multiply
    96,699x = 210,003 × 210,003
  4. Step 4: Simplify right side
    96,699x = 44,101,260,009
  5. Step 5: Solve for x
    x = 44,101,260,009/96,699
  6. Step 6: Final answer
    x = 456,067.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.