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Finding the Third Proportional to 95,014 and 206,455.50

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Solution

The third proportional to 95,014 and 206,455.50 is: 448,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,014 : 206,455.50 = 206,455.50 : x
  2. Step 2: Convert to fraction form
    95,014/206,455.50 = 206,455.50/x
  3. Step 3: Cross multiply
    95,014x = 206,455.50 × 206,455.50
  4. Step 4: Simplify right side
    95,014x = 42,623,873,480.25
  5. Step 5: Solve for x
    x = 42,623,873,480.25/95,014
  6. Step 6: Final answer
    x = 448,606.24

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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.