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Finding the Third Proportional to 94,616 and 206,032

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Solution

The third proportional to 94,616 and 206,032 is: 448,647.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,616 : 206,032 = 206,032 : x
  2. Step 2: Convert to fraction form
    94,616/206,032 = 206,032/x
  3. Step 3: Cross multiply
    94,616x = 206,032 × 206,032
  4. Step 4: Simplify right side
    94,616x = 42,449,185,024
  5. Step 5: Solve for x
    x = 42,449,185,024/94,616
  6. Step 6: Final answer
    x = 448,647.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.