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Finding the Third Proportional to 96,888 and 207,790

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Solution

The third proportional to 96,888 and 207,790 is: 445,635.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,888 : 207,790 = 207,790 : x
  2. Step 2: Convert to fraction form
    96,888/207,790 = 207,790/x
  3. Step 3: Cross multiply
    96,888x = 207,790 × 207,790
  4. Step 4: Simplify right side
    96,888x = 43,176,684,100
  5. Step 5: Solve for x
    x = 43,176,684,100/96,888
  6. Step 6: Final answer
    x = 445,635.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.