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Finding the Third Proportional to 94,602.75 and 206,944.50

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Solution

The third proportional to 94,602.75 and 206,944.50 is: 452,693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,602.75 : 206,944.50 = 206,944.50 : x
  2. Step 2: Convert to fraction form
    94,602.75/206,944.50 = 206,944.50/x
  3. Step 3: Cross multiply
    94,602.75x = 206,944.50 × 206,944.50
  4. Step 4: Simplify right side
    94,602.75x = 42,826,026,080.25
  5. Step 5: Solve for x
    x = 42,826,026,080.25/94,602.75
  6. Step 6: Final answer
    x = 452,693.25

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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.