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Finding the Third Proportional to 97,505 and 211,002

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Solution

The third proportional to 97,505 and 211,002 is: 456,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,505 : 211,002 = 211,002 : x
  2. Step 2: Convert to fraction form
    97,505/211,002 = 211,002/x
  3. Step 3: Cross multiply
    97,505x = 211,002 × 211,002
  4. Step 4: Simplify right side
    97,505x = 44,521,844,004
  5. Step 5: Solve for x
    x = 44,521,844,004/97,505
  6. Step 6: Final answer
    x = 456,610.88

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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.