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Finding the Third Proportional to 95,022.50 and 206,473

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Solution

The third proportional to 95,022.50 and 206,473 is: 448,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,022.50 : 206,473 = 206,473 : x
  2. Step 2: Convert to fraction form
    95,022.50/206,473 = 206,473/x
  3. Step 3: Cross multiply
    95,022.50x = 206,473 × 206,473
  4. Step 4: Simplify right side
    95,022.50x = 42,631,099,729
  5. Step 5: Solve for x
    x = 42,631,099,729/95,022.50
  6. Step 6: Final answer
    x = 448,642.16

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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.