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Finding the Third Proportional to 96,955.50 and 209,475.75

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Solution

The third proportional to 96,955.50 and 209,475.75 is: 452,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,955.50 : 209,475.75 = 209,475.75 : x
  2. Step 2: Convert to fraction form
    96,955.50/209,475.75 = 209,475.75/x
  3. Step 3: Cross multiply
    96,955.50x = 209,475.75 × 209,475.75
  4. Step 4: Simplify right side
    96,955.50x = 43,880,089,838.06
  5. Step 5: Solve for x
    x = 43,880,089,838.06/96,955.50
  6. Step 6: Final answer
    x = 452,579.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.