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Finding the Third Proportional to 94,621.50 and 206,955

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Solution

The third proportional to 94,621.50 and 206,955 is: 452,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,621.50 : 206,955 = 206,955 : x
  2. Step 2: Convert to fraction form
    94,621.50/206,955 = 206,955/x
  3. Step 3: Cross multiply
    94,621.50x = 206,955 × 206,955
  4. Step 4: Simplify right side
    94,621.50x = 42,830,372,025
  5. Step 5: Solve for x
    x = 42,830,372,025/94,621.50
  6. Step 6: Final answer
    x = 452,649.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.