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Finding the Third Proportional to 96,802.25 and 208,437.25

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Solution

The third proportional to 96,802.25 and 208,437.25 is: 448,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,802.25 : 208,437.25 = 208,437.25 : x
  2. Step 2: Convert to fraction form
    96,802.25/208,437.25 = 208,437.25/x
  3. Step 3: Cross multiply
    96,802.25x = 208,437.25 × 208,437.25
  4. Step 4: Simplify right side
    96,802.25x = 43,446,087,187.56
  5. Step 5: Solve for x
    x = 43,446,087,187.56/96,802.25
  6. Step 6: Final answer
    x = 448,812.78

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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.