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Finding the Third Proportional to 96,630.50 and 207,545

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Solution

The third proportional to 96,630.50 and 207,545 is: 445,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,630.50 : 207,545 = 207,545 : x
  2. Step 2: Convert to fraction form
    96,630.50/207,545 = 207,545/x
  3. Step 3: Cross multiply
    96,630.50x = 207,545 × 207,545
  4. Step 4: Simplify right side
    96,630.50x = 43,074,927,025
  5. Step 5: Solve for x
    x = 43,074,927,025/96,630.50
  6. Step 6: Final answer
    x = 445,769.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.